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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>


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