Model 3 Opening both taps and leaks Practice Questions Answers Test with Solutions & More Shortcuts

Question : 6

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 : 7 [SSC SO 2005]

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 : 8 [SSC CGL Tier-I 2014]

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 : 9 [SSC FCI Assistant Grade-III 2012]

A cistern is normally filled in 8 hours but takes another 2 hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in :

a) 40 hours

b) 25 hours

c) 16 hours

d) 20 hours

Question : 10 [SSC CHSL 2015]

A pipe can fill a tank in 24 hrs. Due to a leakage in the bottom, it is filled in 36 hrs. If the tank is half full, how much time will the leak take to empty the tank?

a) 24 hrs

b) 36 hrs

c) 48 hrs

d) 72 hrs