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<html><body><h2 id="content-id-3784509621-2"><b>Time And Work Questions Overview</b></h2><p>Time And Work 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 Time And Work Questions.</p><h2 id="content-id-3781405926-3"><b>Question On Time And Work </b></h2>Three workers A, B, and C are assigned to a wall construction project. A and B are builders who add bricks to build the wall, while C removes bricks from the wall at a constant rate. A alone can build the wall in x hours, B alone can build it in (x + 5) hours, and C alone can demolish a completely built wall in (x - 2) hours. When A and B work together, they can complete the wall in 6 hours.

Based on this information, match the situations in Column I with the correct outcomes in Column II.


	
		
			Column I (Situations)
			Column II (Outcomes)
		
	
	
		
			(P) A works alone for 4 hours. After that, B joins A and both continue working together.
			(X) The remaining work is completed by A, B, and C working together in 18 hours.
		
		
			(Q) A works alone for 5 hours and then leaves. C works alone for the next 2 hours.
			(Y) The wall is completely demolished in 40 hours.
		
		
			(R) Starting with a completely built wall, A and C work together at the same time.
			(Z) After 2 hours, the remaining work is completed by A, B, and C together in 6.4 hours.
		
	

<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 : 78 Seconds </h3></div></div><h2 id="content-id-5913027468-4"><b> Time And Work Questions Options</b></h2><ol><li><p>P → X, Q → Y, R → Z</p>
</li><li><p>Only P → Z, Q → X</p>
</li><li><p>P → Y, Q → X, R → Z</p>
</li><li><p>Only Q → X, R → Y</p>
</li><li><p>P → Z, Q → X, R → Y</p>
</li></ol> <h2 id="content-id-8206451973-5"><b> Time And Work Questions Solution</b></h2><p>The correct answer is <strong>option 5</strong> i.e. <strong>P → Z, Q → X, R → Y</strong>.</p>

<p>A + B complete the wall in 6 hours.</p>

<p>1/x + 1/(x + 5) = 1/6</p>

<p>⇒ (2x + 5)/(x(x + 5)) = 1/6</p>

<p>⇒ 6(2x + 5) = x(x + 5)</p>

<p>⇒ x<sup>2</sup> − 7x − 30 = 0</p>

<p>⇒ (x − 10)(x + 3) = 0</p>

<p>⇒ x = 10</p>

<p>Therefore,</p>

<p>A = 10 hours</p>

<p>B = 15 hours</p>

<p>C = 8 hours (demolisher)</p>

<p>Taking LCM(10, 15, 8) = 120 units,</p>

<p>A = 12 units/hour</p>

<p>B = 8 units/hour</p>

<p>C = −15 units/hour</p>

<p>Hence,</p>

<p>A + B = 20 units/hour</p>

<p>A + B + C = 5 units/hour</p>

<p>A + C = −3 units/hour<br>
(P)</p>

<p>A works alone for 4 hours.</p>

<p>Work done = 12 × 4 = 48 units</p>

<p>Remaining work = 120 − 48 = 72 units</p>

<p>A and B work together for 2 more hours.</p>

<p>Work done = 20 × 2 = 40 units</p>

<p>Remaining work = 72 − 40 = 32 units</p>

<p>Now A, B and C together complete the remaining work.</p>

<p>Time = 32/5 = 6.4 hours</p>

<p>Therefore,</p>

<p>P → Z</p>

<p>(Q)</p>

<p>A works alone for 5 hours.</p>

<p>Work done = 12 × 5 = 60 units</p>

<p>C works alone for next 2 hours.</p>

<p>Work demolished = 15 × 2 = 30 units</p>

<p>Net work standing = 60 − 30 = 30 units</p>

<p>Remaining work to complete the wall = 120 − 30 = 90 units</p>

<p>A, B and C together complete this remaining work.</p>

<p>Time = 90/5 = 18 hours</p>

<p>Therefore,</p>

<p>Q → X</p>

<p>(R) Initially, wall is fully built = 120 units.</p>

<p>A and C work together.</p>

<p>Net rate = 12 − 15 = −3 units/hour</p>

<p>Time to completely demolish the wall = 120/3 = 40 hours</p>

<p>Therefore, R → Y</p>
<h2 id="content-id-9136854072-6"><b> Time And Work Questions Tips and Tricks</b></h2><img loading="lazy" src="https://study.kdcampus.live/questions-blog-pdf/Time_And_Work_Questions_Tips_and_Tricks.png" alt="Time And Work Questions Tips and Tricks" height="260" width="480"><ol><li>Try to solve Time And Work Questions without taking any help from the solutions.</li><li>Time And Work 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 loading="lazy" 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 loading="lazy" 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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The correct answer is option 5 i.e. P ? - Time And Work Questions are asked in Ssc Chsl exams and your question has been explained by experts like Neetu Mam.

Three workers A B and C - Time And Work Questions for Ssc Chsl

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