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### Question 1

Two pipes can together fill a cistern in 5 minutes. How long does the slower alone take if the speeds of the pipes are in the ratio 4 : 1?

### Question 2

Two taps X, Y and Z can fill a tank in 18, 17 and 10 minutes respectively. All the taps are turned on at the same time. After how many minutes is the tank completely filled?

**A**

$4{109/164}$ mins.

**B**

$5{114/163}$ mins.

**C**

$3{103/166}$ mins.

**D**

$7{95/166}$ mins.

**Soln.**

**Ans: a**

Let the time be x mins. Then sum of works done by X, Y and Z = 1. $x/18 + x/17 + x/10 = 1$. Solving, we get x = $4{109/164}$. Or use the shortcut ${abc}/{ab + bc + ca}$. Another thing, instead of solving the entire calculation, you can keep an eye on the options to find the nearest answer.

### Question 3

A tap can fill a tank in 2 hours. Because of a leak it took $3{1/6}$ hours to fill the tank. When the tank has been completely filled, the tap is closed. How long will the water last in the tank?

### Question 4

Two pipes, A and B, can fill a cistern in 14 and 16 mins respectively. There is a leakage tap that can drain 7 liters of water per minute. If all three of them work together, the tank is filled in 18 minutes. What is the volume of the tank?

**A**

$89{25/79}$ liters.

**B**

$91{37/78}$ liters.

**C**

$86{11/81}$ liters.

**D**

$90{1/27}$ liters.

**Soln.**

**Ans: a**

Work done by the leakage in 1 min is $1/14 + 1/16 - 1/18$ = ${79/1008}$. This work is equivalent to a volume of 7 liters. So, the total volume is 7 × ${1008/79}$ = ${7056/79}$, which is same as: $89{25/79}$ liters.

### Question 5

Two pipes, A and B, can fill a bucket in 11 and 15 mins respectively. Both the pipes are opened simultaneously. The bucket is filled in 8 mins if B is turned off after how many minutes:

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This Blog Post/Article "Pipes and Cisterns Quiz Set 013" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-10-26.