Model 3 Opening both taps and leaks Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

Pipe A can fill a tank in 4 hours and pipe B can fill it in 6 hours. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full ?

a) 4$2/3$

b) 3$1/4$

c) 4$1/2$

d) 3$1/2$

Question : 2

A tank is fitted with two taps. The first tap can fill the tank completely in 45 minutes and the second tap can empty the full tank in one hour. If both the taps are opened alternately for one minute, then in how many hours the empty tank will be filled completely ?

a) 5 hours 53 minutes

b) 4 hours 48 minutes

c) 2 hours 55 minutes

d) 3 hours 40 minutes

Question : 3

A pipe can fill a cistern in 9 hours. Due to a leak in its bottom, the cistern fills up in 10 hours. If the cistern is full, in how much time will it be emptied by the leak ?

a) 100 hours

b) 90 hours

c) 70 hours

d) 80 hours

Question : 4

Pipe A can fill a cistern in 6 hours and pipe B can fill it in 8 hours. Both the pipes are opened simultaneously, but after two hours, pipe A is closed. How many hours will B take to fill the remaining part of the cistern ?

a) 4 hrs

b) 2$2/3$ hrs

c) 2 hrs

d) 3$1/3$ hrs

Question : 5

A pump can fill a tank with water in 2 hours. Because of a leak in the tank it was taking 2$1/3$ hours to fill the tank. The leak can drain all the water off the tank in :

a) 14 hours

b) 4$1/3$ hours

c) 8 hours

d) 7 hours

Question : 6

A pipe can fill a tank with water in 3 hours. Due to leakage in bottom, it takes 3$1/2$ hours to fill it . In what time the leak will empty the fully filled tank ?

a) 10$1/2$ hours

b) 6$1/2$ hours

c) 12 hours

d) 21 hours