Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

Two pipes, A and B, can fill a bucket in 15 and 19 mins respectively. Both the pipes are opened simultaneously. The bucket is filled in 5 mins if B is turned off after how many minutes:

### Question 2

A tap can fill a tank in 2 hours. Because of a leak it took $2{2/7}$ 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 3

Two taps A and B can fill a tank in 15 and 30 minutes respectively. Both the taps are turned on at the same time. After how many minutes should B be turned off so that the tank can be filled in 13 minutes?

### Question 4

A tank is filled in 17 minutes by three taps running together. Times taken by the three taps independently are in an AP[Arithmetic Progression], whose first term is a and common difference d. Then, a and d satisfy the relation?

**A**

a^{3} - 51a^{2} - ad^{2} + 17d^{2} = 0.

**B**

a^{3} - 34a^{2} + ad^{2} + 17d^{2} = 0.

**C**

a^{3} - 17a^{2} - ad^{2} + 17d^{2} = 0.

**D**

a^{3} - 85a^{2} + ad^{2} + 17d^{2} = 0.

**Soln.**

**Ans: a**

Let the times taken by the three taps be a - d, a and a + d. Then 17 minutes work of all the taps should add to 1. So we have, $17 × 1/{a - d} + 17 × 1/a + 17 × 1/{a + d}$ = 1, which is same as a^{3} - 51a^{2} - ad^{2} + 17d^{2} = 0.

### Question 5

What is the volume of the tank in liters if it measures 5m × 2m × 2m?

This Blog Post/Article "Pipes and Cisterns Quiz Set 017" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.