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### Question 1

What is the volume of the tank in liters if it measures 9m × 5m × 9m?

### Question 2

Tap M can fill a cistern in 12 mins. And, a tap N can empty it in 7 mins. In how many minutes will the cistern be emptied if both the taps are opened together when the tank is $6/13$^{th} already empty?

**A**

$9{3/65}$ mins.

**B**

$10{13/64}$ mins.

**C**

$7{54/67}$ mins.

**D**

$11{46/67}$ mins.

**Soln.**

**Ans: a**

1 filled cistern can be emptied in ${12 × 7}/{12 - 7}$ mins. So $1 - 6/13$ = $7/13$ filled cistern can be emptied in ${12 × 7}/{12 - 7}$ × $7/13$ = ${588/65}$, which is same as: $9{3/65}$ mins.

### Question 3

One tap can fill a tank 3 times faster than the other. If they together fill it in 14 minutes, how much time does the slower alone take to fill the tank?

### Question 4

Two taps X and Y can fill a tank in 5 and 13 minutes respectively. Both the taps are turned on at the same time. After how many minutes is the tank completely filled?

### Question 5

Pipe A can fill a cistern in 45 minutes, while the pipe B can fill it in 30 minutes. They are alternately open for 1 minute. How long will it take the cistern to fill completely?

This Blog Post/Article "Pipes and Cisterns Quiz Set 008" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-10-26.