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

Question : 21 [SSC CGL Prelim 2008]

A tank has a leak which would empty the completely filled tank in 10 hours. If the tank is full of water and a tap is opened which admits 4 litres of water per minute in the tank, the leak takes 15 hours to empty the tank. How many litres of water does the tank hold ?

a) 7200 L

b) 1200 L

c) 2400 L

d) 4500 L

Question : 22 [SSC GL Tier-I 2013]

Two pipes, P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes, P is turned off. In how many more minutes will Q fill the cistern ?

a) 8$1/4$ minutes

b) 8 minutes

c) 7 minutes

d) 7$1/2$ minutes

Question : 23 [SSC SO 2007]

A tank can be filled with water by two pipes A and B together in 36 minutes. If the pipe B was stopped after 30 minutes, the tank is filled in 40 minutes. The pipe B can alone fill the tank in

a) 90 minutes

b) 75 minutes

c) 45 minutes

d) 60 minutes

Question : 24 [SSC Delhi Police S.I.2012]

Two pipes A and B can fill a tank in 6 hours and 8 hours respectively. If both the pipes are opened together, then after how many hours should B be closed so that the tank is full in 4 hours?

a) $8/3$ hrs

b) 2 hrs

c) $2/3$ hrs

d) 1hrs

Question : 25 [SSC CGL Tier-II 2016]

A water tap fills a tub in ‘p’ hours and a sink at the bottom empties it in ‘q’ hours. If p < q and both tap and sink are open, the tank is filled in ‘r’ hours; then

a) r = p - q

b) r = p + q

c) $1/r = 1/p + 1/q$

d) $1/r = 1/p - 1/q$