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<html><body><h2 id="content-id-6057342189-2"><b>Pipes And Cistern Questions Overview</b></h2><p>Pipes And Cistern 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 Pipes And Cistern Questions.</p><h2 id="content-id-7149568230-3"><b>Question On Pipes And Cistern </b></h2>Three pipes—P, Q, and R—are connected to a water tank. Pipes P and Q function as Inlet pipes, while Pipe R functions as an Outlet pipe. Pipe P alone takes x hours to fill the tank. Pipe Q alone takes (x + 5) hours to fill the tank. Pipe R alone takes (x - 2) hours to empty the completely filled tank.  If only both Inlet pipes are opened together simultaneously, they can fill the tank in 6 hours.

Match the column:


	
		
			Column I
			Column II
		
	
	
		
			P. Pipe P is opened alone in an empty tank for 4 hours, after which Pipe Q is also opened alongside Pipe P.
			X. The tank gets completely emptied in 40 hours
		
		
			Q. Pipe P is opened alone in an empty tank for 5 hours, after which it is closed, and then Pipe R is opened alone for the next 2 hours.
			Y. The remaining tank is filled in 4 hours.
		
		
			R. Starting with a full tank of water, only Pipe P and Pipe R are opened together simultaneously.
			Z. Then the remaining tank get fill by all three pipes in 18 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 : 77 Seconds </h3></div></div><h2 id="content-id-4938160257-4"><b> Pipes And Cistern Questions Options</b></h2><ol><li><p>P → Z and R → X</p>
</li><li><p>Q → Z and R → X</p>
</li><li><p>R → Z, Q → Y, and P → X</p>
</li><li><p>Q → Z and Q → X</p>
</li><li><p>Q → Z, P → Y, and R → X</p>
</li></ol> <h2 id="content-id-3015289476-5"><b> Pipes And Cistern Questions Solution</b></h2><p>The correct answer is <strong>option 2 </strong>i.e. <strong>Q → Z and R → X</strong>. </p>

<p>Only P and Q together fill the tank in 6 hours.</p>

<p>So,</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>12x + 30 = x<sup>2</sup> + 5x</p>

<p>x<sup>2 </sup>- 7x - 30 = 0</p>

<p>(x - 10)(x + 3) = 0</p>

<p>x = 10 hours</p>

<p>So,</p>

<p>Pipe P fills in 10 hours</p>

<p>Pipe Q fills in 15 hours</p>

<p>Pipe R empties in 8 hours</p>

<p>Take total capacity = LCM(10, 15, 8) = 120 units</p>

<p>Efficiency of P = 12 units/hour</p>

<p>Efficiency of Q = 8 units/hour</p>

<p>Efficiency of R = -15 units/hour</p>

<p><strong>P:</strong></p>

<p>Pipe P alone for 4 hours</p>

<p>Filled water = 12 × 4 = 48 units</p>

<p>Remaining tank = 120 - 48 = 72 units</p>

<p>Now P and Q together work.</p>

<p>Combined efficiency = 12 + 8 = 20 units/hour</p>

<p>Time to fill the remaining tank = 72/20 = 3.6 hours = 3 hours 36 minutes</p>

<p>So, X, Y, and Z is not matched.</p>

<p><strong>Q: </strong></p>

<p>Pipe P alone for 5 hours</p>

<p>Filled water = 12 × 5 = 60 units</p>

<p>Then Pipe R alone for 2 hours</p>

<p>Water emptied = 15 × 2 = 30 units</p>

<p>Water left = 60 - 30 = 30 units</p>

<p>Remaining tank = 120 - 30 = 90 units</p>

<p>All three pipes together:</p>

<p>Net efficiency = 12 + 8 - 15 = 5 units/hour</p>

<p>Time to fill remaining tank = 90/5 = 18 hours</p>

<p>So, Q → Z </p>

<p><strong>R:</strong></p>

<p>Full tank, P and R together</p>

<p>Net efficiency = 12 - 15 = -3 units/hour</p>

<p>Tank empties in</p>

<p>120/3 = 40 hours</p>

<p>So, R → X </p>
<h2 id="content-id-1539624087-6"><b> Pipes And Cistern Questions Tips and Tricks</b></h2><img loading="lazy" src="https://study.kdcampus.live/questions-blog-pdf/Pipes_And_Cistern_Questions_Tips_and_Tricks.png" alt="Pipes And Cistern Questions Tips and Tricks" height="260" width="480"><ol><li>Try to solve Pipes And Cistern Questions without taking any help from the solutions.</li><li>Pipes And Cistern 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. 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The following are the sen - Filler Misc Questions for Ibps Po

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The correct answer is option 2 i.e. Q ? - Pipes And Cistern Questions are asked in Ssc Chsl exams and your question has been explained by experts like Neetu Mam.

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Three pipes P Q and R - Pipes And Cistern Questions for Ssc Chsl

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