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<html><body><h2 id="content-id-7256890143-2"><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-8402513769-3"><b>Question On Time And Work </b></h2>Pipe A can fill the tank in 18 hours, Pipe B can empty the tank in 36 hours and Pipe C can fill the tank in 45 hours. If the Pipe A, B and C are opened alternatively and Pipe A is opened first, then in how much time the tank will be filled, if the tank is empty?
<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 : Moderate </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 43 Seconds </h3></div></div><h2 id="content-id-4031926578-4"><b> Time And Work Questions Options</b></h2><ol><li><p>57 hours</p>
</li><li><p>60 hours</p>
</li><li><p>64.5 hours</p>
</li><li><p>57.9 hours</p>
</li></ol> <h2 id="content-id-0238671495-5"><b> Time And Work Questions Solution</b></h2><p>The correct answer is <strong>option 4</strong> i.e <strong>57.9 hours</strong>.</p>

<table border="1" cellpadding="1" cellspacing="1" style="width:375px">
	<tbody>
		<tr>
			<td>Understanding</td>
			<td>Application</td>
		</tr>
		<tr>
			<td>
			<p>If a pipe can fill the tank in x hours, <span style="background-color:transparent">their efficiency to fill in 1 hour </span>is 1/x part of the tank.</p>
			</td>
			<td>
			<p>The pipe A can fill a tank in 18 hours.</p>

			<p>So, The efficiency of pipe A to fill the tank in 1 hour = 1/18</p>

			<p>The efficiency of pipe B to empty the tank in 1 hour = 1/36</p>

			<p>The efficiency of pipe C to fill the tank in 1 hour = 1/45</p>

			<p>At first pipe A is opened for 1st hour</p>

			<p>Pipe B is opened for 2nd hour</p>

			<p>And Pipe C is opened for 3rd hour</p>

			<p>In 3 hour, (1/18) - (1/36) + (1/45) part of the tank will be filled.</p>

			<p>So, (10 - 5 + 4)/180 part of tank will be filled in 3 hours</p>

			<p>9/180 part of the tank will be filled in 3 hours,</p>

			<p>Now these 180 parts could be filled in 180/9 = 20 sets of 3 hours but in the end other pipes will stop as the tank gets filled once,</p>

			<p>Now time taken by pipes together to fill maximum part of tank before it once gets filled =  19 × 3 = 57 hours = 57 × 3 parts = 171 parts of tank</p>

			<p>Part of tank left = 180 - 171 = 9 part</p>

			<p>In end first Pipe A will work, and time taken by A to fill 9 parts = 9/10 = 0.9 hours</p>

			<p>Total time taken by pipes to fill the tank = 57 + 0.9 = 57.9 hours</p>
			</td>
		</tr>
	</tbody>
</table>
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The correct answer is option 4 i.e 57. - Time And Work Questions are asked in Ssc Chsl exams and your question has been explained by experts like Neetu Mam.

Pipe A can fill the tank - Time And Work Questions for Ssc Chsl

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