Q1. A cistern can be filled with water by pipe A in 5 hours and it can be emptied by a second pipe B in 4 hours. If both the pipes are opened when the cistern is full, the time in which it will be emptied is:
(a) 25
(b) 20
(c) 16
(d) 18
(e) 28
Q2. A booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400 m³. The emptying capacity of the tank is 10 m³ per minute higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump (in m^3 per minute)?
(a) 54
(b) 60
(c) 50
(d) 45
(e) 65
Q3. Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is (in gallons):
(a) 105
(b) 110
(c) 140
(d) 120
(e) 125
Q4. Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How many time will be taken by A to fill the cistern separately?
(a) 4 hours
(b) 2 hours
(c) 6 hours
(d) 8 hours
(e) 10 hours
Q5. Three pipes A, B and C can fill together a tank in 6 hours. After working together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:
(a) 20 hours
(b) 22 hours
(c) 24 hours
(d) 16 hours
(e) 18 hours
Solutions (1-5):
Q7. One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:
(a) 81 min
(b) 108 min
(c) 144 min
(d) 192 min
(e) 156 min
Q8. A tank can be filled by one tap in 20 min. and by another in 25 min. both the taps are kept open for 5 min. and then the second tap is turned off. In how many minutes more is the tank completely filled?
(a) 6 minutes
(b) 11 minutes
(c) 12 minutes
(d) 17 minutes
(e) 24 minutes
Q9. A leak in the bottom of a tank can empty the filled tank in 6 hours. An inlet pipe fills water in the tank at the rate of 4 litre per minute. When the tank is full, then inlet pipe is opened and due to leakage tank is emptied in 10 hours. Then what is the capacity of the tank?
(a) 3600 litre
(b) 3500 litre
(c) 4800 litre
(d) 3200 litre
(e) 2400 litre
Q10. A cistern, when full, is emptied by a waste pipe in 30 minutes, but if a tap (filling source) is opened, it takes 40 minutes, to empty the cistern. How long the cistern will take to become full when only filling pipe is working?
(a) 140 minutes
(b) 120 minutes
(c) 160 minutes
(d) 180 minutes
(e) 150 minutes
Solutions (6-10):
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