One pipe can fill a tank three times as fast as another pipe. If together the tw

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Question
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in ?
Options
A. 85 min
B. 92 min
C. 187 min
D. 144 min

Correct Answer

144 min

Explanation

Let the slower pipe alone fill the tank in x min.

Then, faster pipe will fill it in x/3 min.

1/x + 3/x = 1/36

4/x = 1/36 => x = 144 min.

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Pipes and Cistern problems

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1. In what time would a cistern be filled by three pipes which diameters are 2 cm, 3 cm and 4 cm running together, when the largest alone can fill it is 58 minutes? The amount of water flowing in each pipe is proportional to the square of its diameter.
Options
A. 26 min
B. 32 min
C. 36 min
D. 42 min

2. Two pipes A and B can separately fill a cistern in 60 min and 75 min 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 min. In how much time, the third pipe alone can empty the cistern ?
Options
A. 85 min
B. 95 min
C. 105 min
D. 100 min

3. Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank ?
Options
A. 15 min 20 sec.
B. 16 min 40 sec.
C. 13 min 10 sec.
D. 14 min 40 sec.

4. A water tank has holes. The 1st hole alone empties the tank in 9 min and 2nd hole alone empties the tank in 6 min. If water leaks out at a constant rate, how many min does it take if both the holes together empty the tank?
Options
A. 3 3/5
B. 3/5
C. 3 1/5
D. 3 2/5

5. A Tank is normally filled in 9 hours but takes four hours longer to fill because of a leak in its bottom. If the tank is full, the leak will empty it in ?
Options
A. 32.5 hrs
B. 29.25 hrs
C. 30.30 hrs
D. 31 hrs

6. 3 pipes when opened for 3 hours can fill 3 buckets. How many buckets can 2 pipes open for 2 hours approximately fill?
Options
A. 2/3 buckets
B. 2 buckets
C. 1 bucket
D. 4/3 bucket

7. A water tank is filled in 5 hours by three pipes X, Y and Z the pipe Z is thrice as fast as Y and Y is twice as fast as X. How much time will pipe X alone take to fill the water tank?
Options
A. 60 hrs
B. 45 hrs
C. 40 hrs
D. 35 hrs

8. A tank is filled in eight hours by three pipes K, L and M. Pipe K is twice as fast as pipe L, and L is twice as fast as M. How much time will pipe L alone take to fill the tank ?
Options
A. 32 hrs
B. 24 hrs
C. 28 hrs
D. 26 hrs

9. Three pipe P, Q and R can fill a tank in 12 minutes, 18 minutesand 24 minutes respectively. The pipe R is closed 12 minutesbefore the tank is filled. In what time the tank is full?
Options
A. 8 (5/13) hrs
B. 8 (4/13) hrs
C. 7 (4/13) hrs
D. 8 (6/13) hrs

10. Pipes A and B can fill a cistern in 15 hours together. But ifthese pipes operate separately A takes 40 hours less than Bto fill the tank. In how many hours the pipe A will fill thecistern working alone?
Options
A. 60
B. 20
C. 40
D. 15

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