Arithmetic

Time & Work

Medium

applied

Two pipes A and B can fill a tank in 10 minutes & 16 minutes respectively whereas a waste pipe can empty 3 litres per minute. All the three pipes working together can fill the tank in 8 minutes, then the capacity of the tank is:

27 litres

80 litres

48 litres

120 litres

✅ Correct Option: 2

Combined rate: $\dfrac{1}{10}+\dfrac{1}{16}-w=\dfrac18$ , where $w$ is the waste pipe's rate in tanks per minute.

$\dfrac{13}{80}-w=\dfrac{10}{80}$ gives $w=\dfrac{3}{80}$ tank per minute.

Since this equals 3 litres per minute, the capacity is 80 litres.

2026: 18 May Shift 1

A pump can fill a tank with water in 2 hours. Because of a leak, it took $2\frac{1}{3}$ hours to fill the tank. In how many hours can the leak drain all the water from the tank?

2026: 29 May Shift 2

One pipe can fill a tank five times as fast as another pipe. If, together, two pipes can fill the tank in 30 minutes, how much time does the faster pipe alone take to fill the tank ?

2026: 12 May Shift 2

Match List-I with List-II

List-I	List-II
(A) If an inlet pipe can fill a tank in $x$ hours, but due to a leakage in the bottom it is filled in $y$ hours, then time (in hours) taken to empty the tank due to leakage	(I) $\dfrac{yz+zx-xy}{xyz}$
(B) If two inlet pipes take $x$ & $y$ hours respectively to fill the tank and the third outlet pipe takes $z$ hours to empty the tank. If all three of them are opened together, then the net part of the tank filled in 1 hour	(II) $\dfrac{1}{x}$
(C) If a pipe can fill the tank completely in $x$ hours, then the part of the tank filled in 1 hour	(III) $\dfrac{xy}{y-x}$
(D) If two inlet pipes can fill a tank in $x$ & $y$ hours. If both pipes are opened at the same time, then net part of the tank filled in 1 hour	(IV) $\dfrac{x+y}{xy}$

Choose the correct answer from the options given below:

2025: 22 May Shift 2

Two pipes P and Q can fill a tank in 26 minutes and 52 minutes respectively. Both the pipes are opened together for some time and then pipe P is closed. If the tank is filled in 26 minutes, then after how many minutes pipe P is closed?

2025: 15 May Shift 2

Two pipes A and B can fill a tank in 20 minutes and 30 minutes respectively. Both pipes A and B are opened together for some time and pipe B is turned off. If the tank is filled in 15 minutes, then after how many minutes pipe B is turned off?

2025: 14 May Shift 2

Three pipes A, B and C can fill a tank in 12 hours, 15 hours and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, in how many hours will the tank be full?

Two pipes A and B can fill a tank in 10 minutes & 16 minutes respectively whereas a waste pipe can empty 3 litres per minute. All the three pipes working together can fill the tank in 8 minutes, then the capacity of the tank is:

Solution

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