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<html><body><h2 id="content-id-9127345086-2"><b>Problem On Trains Questions Overview</b></h2><p>Problem On Trains Questions have a good weightage in the SSC CGL English Exam and the type of question asked in SSC CGL English exam is similar to the question mentioned below. It has been solved and explained by KD Live Experts under the guidance of Neetu Mam and they have tried to elaborate the concept used in Problem On Trains Questions.</p><h2 id="content-id-9703641582-3"><b>Question On Problem On Trains </b></h2>Two trains of lengths 120 m and 180 m are running in opposite directions at speeds of 60 km/h and 75 km/h, respectively. In how many seconds will they completely cross each other?
<div class="row show--dificulty--bar" style="margin-top:8px;"><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex !important;border-right:0.1px solid #eee;"><h3 style="font-size:12px !important;">Difficulty : Easy </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 37 Seconds </h3></div></div><h2 id="content-id-1397264805-4"><b> Problem On Trains Questions Options</b></h2><ol><li><p>10 seconds</p>
</li><li><p>8 seconds</p>
</li><li><p>10 seconds</p>
</li><li><p>11 seconds</p>
</li></ol> <h2 id="content-id-9412783056-5"><b> Problem On Trains Questions Solution</b></h2><p>The correct answer is <strong>option 2 </strong>i.e. <strong>8 seconds.</strong></p>

<p>Relative speed = 75 + 60 = 135 km/h = 135 × (5/18) = 37.5 m/s</p>

<p>Total length = 120 + 180 = 300 m</p>

<p>Time required = 300/37.5 = 8 seconds</p>
<h2 id="content-id-9704215863-6"><b> Problem On Trains Questions Tips and Tricks</b></h2><img src="https://study.kdcampus.live/questions-blog-pdf/Problem_On_Trains_Questions_Tips_and_Tricks.png" alt="Problem On Trains Questions Tips and Tricks" height="260" width="480"><ol><li>Try to solve Problem On Trains Questions without taking any help from the solutions.</li><li>Problem On Trains Questions require proper usage of concept so firstly read the question thoroughly and then use the right concept. </li><li>In case you're not able to solve the question in less than 30 seconds in the exam then you should skip the question and move to the next question.</li></ol><h3><b>Daily Current Affairs </b></h3><img src="https://study.kdcampus.live/questions-blog-pdf/Daily_Current_Affairs.png" alt="Daily Current Affairs" height="260" width="480"><p>KD Live is providing Current Affairs on a daily basis for SSC and a current affairs quiz too for the practice. For the Current Affairs please <a href="https://study.kdcampus.live/daily-current-affairs" target="_blank">Click Here</a> and for the current affairs quiz please <a href="https://study.kdcampus.live/current-affairs-quiz" target="_blank">Click Here</a>.</p><h3><b> KD Live Free Offerings </b></h3><img src="https://study.kdcampus.live/questions-blog-pdf/KD_Live_Free_Offerings.png" alt="KD Live Free Offerings" height="260" width="480"><p>KD Live is Offering Every Information and Study Material required for the self study. 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More than 10 lakh aspirants have cleared competitive exams under the guidance of Neetu Mam. Study.kdcampus.live is providing free information on various topics and for the SSC CGL English Exam you can refer the following link <a href="https://study.kdcampus.live/ssc-cgl-english" target="_blank">Click Here</a> however if you want to practice more questions then please refer the following link <a href="https://study.kdcampus.live/question-answer" target="_blank">Click Here</a>.<h3><b>About Neetu Mam</b></h3>Neetu Mam is primarily passionate for the English language and teaching from the last 20 years however for the Problem On Trains Questions. She has guided her team to provide the best explanation for the question.</body></html>


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Two trains of lengths 120 - Problem On Trains Questions for SSC CGL English

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<html><body><h2 id="content-id-6952841037-2"><b>Problem On Trains Questions Overview</b></h2><p>Problem On Trains Questions have a good weightage in the Ssc Chsl Exam and the type of question asked in Ssc Chsl exam is similar to the question mentioned below. It has been solved and explained by KD Live Experts under the guidance of Neetu Mam and they have tried to elaborate the concept used in Problem On Trains Questions.</p><h2 id="content-id-1037694285-3"><b>Question On Problem On Trains </b></h2>Train A starts from Jammu and, after traveling 80 km, reduces its speed by 50% and reaches Kashmir at 12:30 AM (next day). Train B also starts from Jammu at the same time and, after traveling 120 km, reduces its speed by 25% and reaches Kashmir at 9:30 PM. If both trains had traveled the entire journey at their respective original speeds, they would have reached Kashmir at 8:30 PM. A third train, Train C, travels at a constant speed that is 150% greater than the original speed of Train B.

Statement I: The original speeds of Train A and Train B are identical, and the numerical value of the total distance between Jammu and Kashmir is exactly six times the numerical value of this original speed.

Statement II: If Train A had reduced its speed by 50% right from the beginning of the journey, its total travel time would have increased by 4 hours compared to its actual journey time.

Statement III: If Train C starts from Jammu at the same time as the other trains and travels at its constant speed throughout the journey, it will reach Kashmir earlier than Train A would have if Train A had traveled the entire journey at its reduced speed.
<div class="row show--dificulty--bar" style="margin-top:8px;"><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex !important;border-right:0.1px solid #eee;"><h3 style="font-size:12px !important;">Difficulty : Easy </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 81 Seconds </h3></div></div><h2 id="content-id-9672583410-4"><b> Problem On Trains Questions Options</b></h2><ol><li><p>Only statement I and II are correct</p>
</li><li><p>Only statement II and III are correct</p>
</li><li><p>Only statement I and III are correct</p>
</li><li><p>Only Statement I is true</p>
</li><li><p>All statement are true</p>
</li></ol> <h2 id="content-id-2715364809-5"><b> Problem On Trains Questions Solution</b></h2><p>The correct answer is<strong> option 3</strong> i.e. <strong>Only statement I and III are correct</strong>.</p>

<p>Actual arrival time of Train A = 12:30 AM</p>

<p>Delay for Train A = 12:30 AM - 8:30 PM = 4 hours</p>

<p>Actual arrival time of Train B = 9:30 PM</p>

<p>Delay for Train B = 9:30 PM - 8:30 PM = 1 hour</p>

<p>Let the total distance = D km.</p>

<p>Let the original speed of Train A = a km/hr.</p>

<p>Let the original speed of Train B = b km/hr.</p>

<p>For Train A</p>

<p>After 80 km, speed becomes 50% of original speed.</p>

<p>Extra time due to reduction in speed = 4 hours</p>

<p>80/a + (D - 80)/(a/2) - D/a = 4</p>

<p>80/a + 2(D - 80)/a - D/a = 4</p>

<p>(D - 80)/a = 4</p>

<p>D = 4a + 80 ...(1)</p>

<p>For Train B</p>

<p>After 120 km, speed becomes 75% of original speed.</p>

<p>Extra time due to reduction in speed = 1 hour</p>

<p>120/b + (D - 120)/(3b/4) - D/b = 1</p>

<p>120/b + 4(D - 120)/(3b) - D/b = 1</p>

<p>(D - 120)/(3b) = 1</p>

<p>D = 3b + 120 ...(2)</p>

<p>Since both trains would have arrived at 8:30 PM when running at original speeds and they started at 2:30 PM,</p>

<p>Normal travel time = 6 hours</p>

<p>Therefore,</p>

<p>D/a = 6</p>

<p>D = 6a ...(3)</p>

<p>D/b = 6</p>

<p>D = 6b ...(4)</p>

<p>From (1) and (3):</p>

<p>6a = 4a + 80</p>

<p>2a = 80</p>

<p>a = 40 km/hr</p>

<p>D = 6 × 40 = 240 km</p>

<p>From (2):</p>

<p>240 = 3b + 120</p>

<p>b = 40 km/hr</p>

<p>Thus,</p>

<p>a = b = 40 km/hr</p>

<p>Distance = 240 km</p>

<p>Statement I</p>

<p>Original speeds are equal </p>

<p>Distance = 240 km</p>

<p>6 × speed = 6 × 40 = 240 km </p>

<p><strong>Statement I is True.</strong></p>

<p>Statement II</p>

<p>Actual journey time of Train A = 6 + 4 = 10 hours</p>

<p>If Train A traveled the whole journey at half speed,</p>

<p>Speed = 20 km/hr</p>

<p>Time = 240/20 = 12 hours</p>

<p>Increase in time = 12 − 10 = 2 hours </p>

<p><strong>Statement II is false.</strong></p>

<p>Statement III</p>

<p>Train C speed = 40 + 150% of 40 = 40 + 60 = 100 km/hr</p>

<p>Time taken by Train C = 240/100 = 2.4 hours = 2 hours 24 minutes</p>

<p>Starting time = 2:30 PM</p>

<p>Arrival time = 4:54 PM </p>

<p>If Train A had traveled entirely at reduced speed,</p>

<p>Time = 240/20 = 12 hours</p>

<p>Arrival time = 2:30 PM + 12 hours = 2:30 AM (next day)</p>

<p>4:54 PM is earlier than 2:30 AM (next day) </p>

<p>Statement III is True.</p>
<h2 id="content-id-2806743519-6"><b> Problem On Trains Questions Tips and Tricks</b></h2><img src="https://study.kdcampus.live/questions-blog-pdf/Problem_On_Trains_Questions_Tips_and_Tricks.png" alt="Problem On Trains Questions Tips and Tricks" height="260" width="480"><ol><li>Try to solve Problem On Trains Questions without taking any help from the solutions.</li><li>Problem On Trains Questions require proper usage of concept so firstly read the question thoroughly and then use the right concept. </li><li>In case you're not able to solve the question in less than 30 seconds in the exam then you should skip the question and move to the next question.</li></ol><h3><b>Daily Current Affairs </b></h3><img src="https://study.kdcampus.live/questions-blog-pdf/Daily_Current_Affairs.png" alt="Daily Current Affairs" height="260" width="480"><p>KD Live is providing Current Affairs on a daily basis for SSC and a current affairs quiz too for the practice. 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More than 10 lakh aspirants have cleared competitive exams under the guidance of Neetu Mam. Study.kdcampus.live is providing free information on various topics and for the Ssc Chsl Exam you can refer the following link <a href="https://study.kdcampus.live/ssc-chsl" target="_blank">Click Here</a> however if you want to practice more questions then please refer the following link <a href="https://study.kdcampus.live/question-answer" target="_blank">Click Here</a>.<h3><b>About Neetu Mam</b></h3>Neetu Mam is primarily passionate for the English language and teaching from the last 20 years however for the Problem On Trains Questions. She has guided her team to provide the best explanation for the question.</body></html>


Train A starts from Jammu - Problem On Trains Questions for Ssc Chsl

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<html><body><h2 id="content-id-3957102468-2"><b>Problem On Trains Questions Overview</b></h2><p>Problem On Trains Questions have a good weightage in the Ssc Cgl Exam and the type of question asked in Ssc Cgl exam is similar to the question mentioned below. It has been solved and explained by KD Live Experts under the guidance of Neetu Mam and they have tried to elaborate the concept used in Problem On Trains Questions.</p><h2 id="content-id-9528061743-3"><b>Question On Problem On Trains </b></h2>A train covers 3 equal distances at speeds in the ratio 4:5:6. What is the ratio of the average speed over the entire journey to the lowest speed?
<div class="row show--dificulty--bar" style="margin-top:8px;"><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex !important;border-right:0.1px solid #eee;"><h3 style="font-size:12px !important;">Difficulty : Easy </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 35 Seconds </h3></div></div><h2 id="content-id-6809124753-4"><b> Problem On Trains Questions Options</b></h2><ol><li><p>15:4</p>
</li><li><p>60:17</p>
</li><li><p>45:37</p>
</li><li><p>60:13</p>
</li></ol> <h2 id="content-id-9341650872-5"><b> Problem On Trains Questions Solution</b></h2><p>The correct answer is <strong>option 3</strong> i.e. <strong>45:37.</strong></p>

<p>Let each distance = d</p>

<p>Speeds are 4k, 5k, and 6k</p>

<p>Total time = d/(4k) + d/(5k) + d/(6k) = (d/k)(1/4 + 1/5 + 1/6) = d/k × 37/60.</p>

<p>Average speed = 3d/[(d/k) × (37/60)] = 180k/37</p>

<p>Lowest speed = 4k</p>

<p>Ratio (Average : Lowest) = (180k/37) : 4k = 180 : 148 = 45 : 37</p>
<h2 id="content-id-6752913840-6"><b> Problem On Trains Questions Tips and Tricks</b></h2><img src="https://study.kdcampus.live/questions-blog-pdf/Problem_On_Trains_Questions_Tips_and_Tricks.png" alt="Problem On Trains Questions Tips and Tricks" height="260" width="480"><ol><li>Try to solve Problem On Trains Questions without taking any help from the solutions.</li><li>Problem On Trains Questions require proper usage of concept so firstly read the question thoroughly and then use the right concept. </li><li>In case you're not able to solve the question in less than 30 seconds in the exam then you should skip the question and move to the next question.</li></ol><h3><b>Daily Current Affairs </b></h3><img src="https://study.kdcampus.live/questions-blog-pdf/Daily_Current_Affairs.png" alt="Daily Current Affairs" height="260" width="480"><p>KD Live is providing Current Affairs on a daily basis for SSC and a current affairs quiz too for the practice. 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More than 10 lakh aspirants have cleared competitive exams under the guidance of Neetu Mam. Study.kdcampus.live is providing free information on various topics and for the Ssc Cgl Exam you can refer the following link <a href="https://study.kdcampus.live/ssc-cgl" target="_blank">Click Here</a> however if you want to practice more questions then please refer the following link <a href="https://study.kdcampus.live/question-answer" target="_blank">Click Here</a>.<h3><b>About Neetu Mam</b></h3>Neetu Mam is primarily passionate for the English language and teaching from the last 20 years however for the Problem On Trains Questions. She has guided her team to provide the best explanation for the question.</body></html>


A train covers 3 equal di - Problem On Trains Questions for Ssc Cgl

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<html><body><h2 id="content-id-9564728130-2"><b>Problem On Trains Questions Overview</b></h2><p>Problem On Trains Questions have a good weightage in the Ssc Cgl Exam and the type of question asked in Ssc Cgl exam is similar to the question mentioned below. It has been solved and explained by KD Live Experts under the guidance of Neetu Mam and they have tried to elaborate the concept used in Problem On Trains Questions.</p><h2 id="content-id-5839714026-3"><b>Question On Problem On Trains </b></h2>A train travels the first 100 km at 50 km/h and the next 100 km at 25 km/h. What is the average speed for the total journey?
<div class="row show--dificulty--bar" style="margin-top:8px;"><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex !important;border-right:0.1px solid #eee;"><h3 style="font-size:12px !important;">Difficulty : Easy </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 35 Seconds </h3></div></div><h2 id="content-id-8921036745-4"><b> Problem On Trains Questions Options</b></h2><ol><li><p>33.33 km/h</p>
</li><li><p>37.5 km/h</p>
</li><li><p>35 km/h</p>
</li><li><p>40.33 km/h</p>
</li></ol> <h2 id="content-id-0528739416-5"><b> Problem On Trains Questions Solution</b></h2><p>The correct answer is <strong>option 1</strong> i.e. <strong>33.33 km/h.</strong></p>

<p>Time for first 100 km = 100/50 = 2 hours</p>

<p>Time for next 100 km = 100/25 = 4 hours</p>

<p>Total distance = 100 + 100 = 200 km</p>

<p>Total time = 2 + 4 = 6 hours</p>

<p>Average speed = 200/6 = 33.33 km/h</p>
<h2 id="content-id-3920847156-6"><b> Problem On Trains Questions Tips and Tricks</b></h2><img src="https://study.kdcampus.live/questions-blog-pdf/Problem_On_Trains_Questions_Tips_and_Tricks.png" alt="Problem On Trains Questions Tips and Tricks" height="260" width="480"><ol><li>Try to solve Problem On Trains Questions without taking any help from the solutions.</li><li>Problem On Trains Questions require proper usage of concept so firstly read the question thoroughly and then use the right concept. </li><li>In case you're not able to solve the question in less than 30 seconds in the exam then you should skip the question and move to the next question.</li></ol><h3><b>Daily Current Affairs </b></h3><img src="https://study.kdcampus.live/questions-blog-pdf/Daily_Current_Affairs.png" alt="Daily Current Affairs" height="260" width="480"><p>KD Live is providing Current Affairs on a daily basis for SSC and a current affairs quiz too for the practice. For the Current Affairs please <a href="https://study.kdcampus.live/daily-current-affairs" target="_blank">Click Here</a> and for the current affairs quiz please <a href="https://study.kdcampus.live/current-affairs-quiz" target="_blank">Click Here</a>.</p><h3><b> KD Live Free Offerings </b></h3><img src="https://study.kdcampus.live/questions-blog-pdf/KD_Live_Free_Offerings.png" alt="KD Live Free Offerings" height="260" width="480"><p>KD Live is Offering Every Information and Study Material required for the self study. 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More than 10 lakh aspirants have cleared competitive exams under the guidance of Neetu Mam. Study.kdcampus.live is providing free information on various topics and for the Ssc Cgl Exam you can refer the following link <a href="https://study.kdcampus.live/ssc-cgl" target="_blank">Click Here</a> however if you want to practice more questions then please refer the following link <a href="https://study.kdcampus.live/question-answer" target="_blank">Click Here</a>.<h3><b>About Neetu Mam</b></h3>Neetu Mam is primarily passionate for the English language and teaching from the last 20 years however for the Problem On Trains Questions. She has guided her team to provide the best explanation for the question.</body></html>


A train travels the first - Problem On Trains Questions for Ssc Cgl

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<html><body><h2 id="content-id-9486037215-2"><b>Problem On Trains Questions Overview</b></h2><p>Problem On Trains Questions have a good weightage in the Ssc Chsl Exam and the type of question asked in Ssc Chsl exam is similar to the question mentioned below. It has been solved and explained by KD Live Experts under the guidance of Neetu Mam and they have tried to elaborate the concept used in Problem On Trains Questions.</p><h2 id="content-id-3608179245-3"><b>Question On Problem On Trains </b></h2>Train A travels from Town X, and Train B starts from Town Y at the same time. They travel toward each other. The speed of Train A is 56 km/hr, and both trains meet each other in 7 hours. Train B travels at two speeds: first at x km/hr and second at (rac{3}{4})x km/hr, covering an equal distance at each speed. Train A travels 8 km more than Train B in total.

Statement I: The total distance between Town X and Town Y is less than 800 km, and the ratio of the distance covered by Train A to the total distance between the two towns is 49 : 97.

Statement II: Time taken by Train B to travel the first half of its journey at its faster speed accounts for less than 45% of its total travel time.

Statement III: If Train B had traveled the entire 7 hours at a constant average speed, then that speed would be greater than its slower speed by 48/7 km/hr.
<div class="row show--dificulty--bar" style="margin-top:8px;"><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex !important;border-right:0.1px solid #eee;"><h3 style="font-size:12px !important;">Difficulty : Easy </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 71 Seconds </h3></div></div><h2 id="content-id-0617934258-4"><b> Problem On Trains Questions Options</b></h2><ol><li><p>Only statement I is true</p>
</li><li><p>Only statement III is true</p>
</li><li><p>Statement I and II are true </p>
</li><li><p>Statement III and II are true </p>
</li><li><p>All three statements are true</p>
</li></ol> <h2 id="content-id-2106754398-5"><b> Problem On Trains Questions Solution</b></h2><p>The correct answer is <strong>option 5 </strong>i.e.<strong> All three statements are true</strong>.</p>

<p>Speed of Train A = 56 km/hr</p>

<p>Time taken to meet = 7 hours</p>

<p>Distance covered by Train A = 56 × 7 = 392 km</p>

<p>Train A travels 8 km more than Train B.</p>

<p>Therefore,</p>

<p>Distance covered by Train B = 392 − 8 = 384 km</p>

<p>Total distance between the towns = 392 + 384 = 776 km</p>

<p>For Train B, equal distances are covered at speeds x and (3/4)x.</p>

<p>So,</p>

<p>192/x + 192/[(3/4)x] = 7</p>

<p>192/x + 256/x = 7</p>

<p>448/x = 7</p>

<p>x = 64 km/hr</p>

<p>Hence, the slower speed = (3/4) × 64 = 48 km/hr.</p>

<p><strong>Statement I</strong></p>

<p>Total distance = 776 km, which is less than 800 km. </p>

<p>Ratio of Train A's distance to total distance = 392 : 776 = 49 : 97</p>

<p>Statement I is True.</p>

<p>Statement II</p>

<p>x = 64 = 8², a perfect square. </p>

<p>Time taken by Train B at the faster speed = 192/64 = 3 hours</p>

<p>Percentage of total time = (3/7) × 100 ≈ 42.86%</p>

<p>Since 42.86% < 45%, the statement is correct. </p>

<p><strong>Statement II is True.</strong></p>

<p>Statement III</p>

<p>Average speed of Train B = Total Distance / Total Time = 384/7 km/hr</p>

<p>Difference between average speed and slower speed = 384/7 − 48 = (384 − 336)/7</p>

<p>= 48/7 km/hr </p>

<p>Therefore, the average speed is greater than the slower speed by 48/7 km/hr.</p>

<p><strong>Statement III is True.</strong></p>


<h2 id="content-id-1208374596-6"><b> Problem On Trains Questions Tips and Tricks</b></h2><img src="https://study.kdcampus.live/questions-blog-pdf/Problem_On_Trains_Questions_Tips_and_Tricks.png" alt="Problem On Trains Questions Tips and Tricks" height="260" width="480"><ol><li>Try to solve Problem On Trains Questions without taking any help from the solutions.</li><li>Problem On Trains Questions require proper usage of concept so firstly read the question thoroughly and then use the right concept. </li><li>In case you're not able to solve the question in less than 30 seconds in the exam then you should skip the question and move to the next question.</li></ol><h3><b>Daily Current Affairs </b></h3><img src="https://study.kdcampus.live/questions-blog-pdf/Daily_Current_Affairs.png" alt="Daily Current Affairs" height="260" width="480"><p>KD Live is providing Current Affairs on a daily basis for SSC and a current affairs quiz too for the practice. For the Current Affairs please <a href="https://study.kdcampus.live/daily-current-affairs" target="_blank">Click Here</a> and for the current affairs quiz please <a href="https://study.kdcampus.live/current-affairs-quiz" target="_blank">Click Here</a>.</p><h3><b> KD Live Free Offerings </b></h3><img src="https://study.kdcampus.live/questions-blog-pdf/KD_Live_Free_Offerings.png" alt="KD Live Free Offerings" height="260" width="480"><p>KD Live is Offering Every Information and Study Material required for the self study. 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More than 10 lakh aspirants have cleared competitive exams under the guidance of Neetu Mam. Study.kdcampus.live is providing free information on various topics and for the Ssc Chsl Exam you can refer the following link <a href="https://study.kdcampus.live/ssc-chsl" target="_blank">Click Here</a> however if you want to practice more questions then please refer the following link <a href="https://study.kdcampus.live/question-answer" target="_blank">Click Here</a>.<h3><b>About Neetu Mam</b></h3>Neetu Mam is primarily passionate for the English language and teaching from the last 20 years however for the Problem On Trains Questions. She has guided her team to provide the best explanation for the question.</body></html>


Train A travels from Town - Problem On Trains Questions for Ssc Chsl

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<html><body><h2 id="content-id-0318756294-2"><b>Problem On Trains Questions Overview</b></h2><p>Problem On Trains Questions have a good weightage in the Ssc Chsl Exam and the type of question asked in Ssc Chsl exam is similar to the question mentioned below. It has been solved and explained by KD Live Experts under the guidance of Neetu Mam and they have tried to elaborate the concept used in Problem On Trains Questions.</p><h2 id="content-id-3451968720-3"><b>Question On Problem On Trains </b></h2>Train A and Train B are traveling in the same direction on parallel tracks. Length of Train A is 280 meters and its speed is X km/h. Length of Train B is L meters and its speed is (X − 15) km/h. Train A crosses Train B completely in 144 seconds. If they were traveling in opposite directions, they would cross each other in 16 seconds.

Match the numeric value of colum I and Column II.


	
		
			Column I
			Column II
		
	
	
		
			(A) A car covers a distance equal to the combined length of Train A and Train B. If the car travels the first half of this distance at 40 km/h and the second half at 60 km/h, find the total time taken (in hours) to cover the entire distance.
			(P) A two-digit number is such that the sum of its digits is 8 and the tens digit exceeds the units digit by 2. The number obtained is _____.
		
		
			(B) A platform has a length which is 60 meters more than the combined length of Train A and Train B. If a new train, Train C, crosses this platform at a speed of 72 km/h and the length of the train C is 25% more than to the train B, the time taken (in seconds) by Train C to cross the platform _____
			(Q) When 40 is added to the numerator of a fraction, its value becomes 80. When 2 is added to its denominator, its value becomes 40. Find the value of the fraction.
		
		
			(C) A car travels from town P to town Q at the speed of Train B and returns from town Q to town P at the speed of Train A (in km/h). Find the average speed of the car (in km/h) for the entire journey.
			(R) The smallest value of 80x2 − 81x + 1 = 0
			 
			
		
	



<div class="row show--dificulty--bar" style="margin-top:8px;"><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex !important;border-right:0.1px solid #eee;"><h3 style="font-size:12px !important;">Difficulty : Easy </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 107 Seconds </h3></div></div><h2 id="content-id-3861795240-4"><b> Problem On Trains Questions Options</b></h2><ol><li><p>B – P, and C – R</p>
</li><li><p>Only A – R, C – Q</p>
</li><li><p>A – R, B – P, and C – Q</p>
</li><li><p>Only A – R, B – P</p>
</li><li><p>A – Q, B – P, and C – R</p>
</li></ol> <h2 id="content-id-5789431062-5"><b> Problem On Trains Questions Solution</b></h2><p>The correct answer is <strong>option 3</strong> i.e. <strong>A – R, B – P, and C – Q</strong>.</p>

<p>Length of Train A = 280 m</p>

<p>Let length of Train B = L m</p>

<p>Relative speed in same direction = 15 km/h = 15 × 5/18 = 25/6 m/s</p>

<p>Total length = 144 × 25/6 = 600 m</p>

<p>L = 600 − 280 = 320 m</p>

<p>Speed sum in opposite direction = 600/16 = 37.5 m/s = 37.5 × 18/5 = 135 km/h</p>

<p>X + (X − 15) = 135</p>

<p>2X = 150</p>

<p>X = 75 km/h</p>

<p>Speed of Train B = 75 − 15 = 60 km/h</p>

<p>(A)</p>

<p>Distance = 280 + 320 = 600 m = 0.6 km</p>

<p>Average speed = 2 × 40 × 60/(40 + 60) = 48 km/h</p>

<p>Time = 0.6/48 = 1/80 hour</p>

<p>(B)</p>

<p>Platform length = 600 + 60 = 660 m</p>

<p>Length of Train C = 320 × 125/100 = 400 m</p>

<p>Speed of Train C = 72 km/h = 20 m/s</p>

<p>Time = (660 + 400)/20 = 53 seconds</p>

<p>(C)</p>

<p>Average speed = 2 × 60 × 75/(60 + 75) = 200/3 km/h</p>

<p>(P)</p>

<p>Let tens digit = x</p>

<p>Units digit = y</p>

<p>x + y = 8</p>

<p>x − y = 2</p>

<p>2x = 10</p>

<p>x = 5</p>

<p>y = 3</p>

<p>Number = 53</p>

<p>(Q)</p>

<p>(n + 40)/d = 80</p>

<p>n + 40 = 80d</p>

<p>n = 80d − 40</p>

<p>n/(d + 2) = 40</p>

<p>80d − 40 = 40(d + 2)</p>

<p>40d = 120</p>

<p>d = 3</p>

<p>n = 200</p>

<p>Fraction = 200/3</p>

<p>(R)</p>

<p>80x<sup>2</sup> − 81x + 1 = 0</p>

<p>80x<sup>2</sup> − 80x − x + 1 = 0</p>

<p>(80x − 1)(x − 1) = 0</p>

<p>x = 1/80 or 1</p>

<p>Smallest value = 1/80</p>

<p>So, </p>

<p>A – R, B – P, and C – Q</p>
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Train A and Train B are t - Problem On Trains Questions for Ssc Chsl