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Home › Grade8 › OLYMPIAD › Math Olympiad-Grade-8 › Pipes & Cisterns › Pipes & Cisterns Worksheet-2

Pipes & Cisterns Worksheet-2

Pipes & Cisterns Worksheet-2

 

  1. 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 much time will be taken by A to fill the cistern separately?

(a) 1 hrs              (b) 2 hrs             (c) 6 hrs             (d) 8 hrs

 

  1. 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

 

  1. A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?

(a) 20 hrs                                       (b) 25 hrs

(c) 35 hrs                                        (d) Cannot be determined

(e) None of these

 

  1. A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is:

(a) 6 hrs             (b) 10 hrs           (c) 15 hrs            (d) 30 hrs

 

  1. 12 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?

(a) 8                    (b) 15                  (c) 16                  (d) 18

 

  1. Bucket P has thrice the capacity as bucket Q. It takes 60 turns for bucket P to fill the empty drum. How many turns it will take for both the buckets P and Q, having each turn together to fill the empty drum?

(a) 30                 (b) 40                 (c) 45                  (d) 90

 

  1. Two pipes A and B can fill a tank in 12 minutes and 15 minutes respectively. If both the taps are opened simultaneously, and the tap A is closed after 3 minutes, then how much more time will it take to fill the tank by tap B?

(a) 7 min 15 sec                             (b) 7 min 45 sec

(c) 8 min 5 sec                              (d) 8 min 15 sec

 

  1. Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?

(a) 10 min 20 sec                          (b) 11 min 45 sec

(c) 12 min 30 sec                          (d) 14 min 40sec

 

  1. Two pipes A and B can fill a tank in 15 hours and 20 hours respectively while a third pipe C can empty the full tank in 25 hours. All the three pipes are opened in the beginning. After 10 hours, C is closed. In how much time, will the tank be full?

(a) 12 hrs           (b) 13 hrs           (c) 16 hrs           (d) 18 hrs

 

  1. A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?

(a) 15 min          (b) 20 min         (c) 27.5 min      (d) 30 min

 

Answer Key:

(1)-c; (2)-c; (3)-c; (4)-d; (5)-d; (6)-c; (7)-d; (8)-d; (9)-a; (10)-d