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Home › Grade8 › OLYMPIAD › Math Olympiad-Grade-8 › Pipes & Cisterns › Pipes & Cisterns Worksheet-1

Pipes & Cisterns Worksheet-1

Pipes & Cisterns Worksheet-1

 

  1. Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?

(a) 12 min          (b) 15 min          (c) 25 min          (d) 50 min

 

  1. A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?

(a) 4.5 hrs          (b) 5 hrs             (c) 6.5 hrs          (d) 7.2 hrs

 

  1. A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

(a) 3 hrs 15 min                            (b) 3 hrs 45 min

(c) 4 hrs                                          (d) 4 hrs 15 min

 

  1. A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?

(a) 6 min. to empty                      (b) 6 min. to fill

(c) 9 min. to empty                      (d) 9 min. to fill

(e) None of these

 

  1. Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?

(a) 2                    (b) 2.5                (c) 3                    (d) 3.5

 

  1. Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:

(a)  hours                                (b) hours

(c) hours                                (d) hours

 

  1. Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?

(a)                  (b)                  (c)                   (d)

 

  1. Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time, the third pipe alone can empty the cistern?

(a) 90 min         (b) 100 min       (c) 110 min        (d) 120 min

 

  1. A pump can fill a tank with water in 2 hours. Because of a leak, it took hours to fill the tank. The leak can drain all the water of the tank in:

(a) hrs         (b) 7 hrs             (c) 8 hrs             (d) 14 hrs

 

  1. Two taps A and B can fill a tank in 5 hours and 20 hours respectively. If both the taps are open then due to a leakage, it took 30 minutes more to fill the tank. If the tank is full, how long will it take for the leakage alone to empty the tank?

(a) hrs         (b) 9 hrs             (c) 18 hrs           (d) 36 hrs

 

Answer Key:

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