Two pipes A and B can fill a tank in 1 h and 75 min, respectively. There is also

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Question
Two pipes A and B can fill a tank in 1 h and 75 min, respectively. There is also an outlet C . If all the three pipes are opened together. The tank is full 50 min. How much time will be taken by C to empty the full tank?
Options
A. 100 min
B. 150 min
C. 200 min
D. 125 min

Correct Answer

100 min

Explanation

Work done by C in 1 min = (1/60 + 1/75 - 1/50 )
= (5 + 4 - 6)/300 = 3/300 = 1/100
Hence, C can empty the full tank in 100 min.

Pipes and Cistern problems

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1.
Through an inlet, a tank takes 8 h to get filled up. Due to a leak in the bottom, it takes 2 h more to get it filled completely. If the tank is full, how much time will the leak take to empty it?
Options
A. 16 h
B. 20 h
C. 32 h
D. 40 h

2.
Pipe A can fill a Tank in 30 min, while pipe B can fill the same tank in 10 min and pipe C can empty the full tank in 40 min. If all the pipes are opened together, how much time will be needed to make the tank full?
Options
A. 93/13 h
B. 94/13 h
C. 97/13 h
D. 99/13 h

3.
Three taps are fitted in a cistern. The empty cistern is filled by the first and the second taps in 3 and 4 h, respectively. The full cistern is emptied by the third tap in 5 h. If all three taps are opened simultaneously, the empty cistern will be filled up in?
Options
A. 114/23 h
B. 214/23 h
C. 2 h 40 min
D. 1 h 56 min

4.
There are two tank A and B to fill up a water tank. The tank can be filled in 40 min, if both taps are on. The same tank can be filled in 60 min, if tap A alone is on. How much time will tap B alone take, to fill up the same tank?
Options
A. 64 min
B. 80 min
C. 96 min
D. 120 min

5.
A cistern has a leak which would empty it in 15 hours. A tap is turned on which admits 2 litres per hour into the cistern and it is now emptied in 10 hours. How many litres does the cistern hold?
Options
A. 50 litres
B. 60 litres
C. 45 litres
D. 360 litres

6.
A, B and C are three pipes connected to a tank. A and B together fill the tank in 6 h, B and C together fill the tank in 10 h and A and C together fill the tank in 12 h. in how much time A, B and C fill up the tank together?
Options
A. 9 h
B. 53/7 h
C. 52/7 h
D. 55/7 h

7.
Two pipes P and Q can fill a cistern in 12 and 15 min, respectively. If both are opened together and at the end of 3 min, the first is closed. How much longer will the cistern take to fill?
Options
A. 81/4 min
B. 83/4 min
C. 5 min
D. 81/2 min

8.
Two pipes A and B are opened together to fill a tank. Both pipes fill the tank in a certain time. If A separately takes 16 min more than the time taken by ( A + B ) and B takes 9 min more than the time taken by ( A + B ). Find the time taken by A and B to fill the tank when both the pipes are opened together.
Options
A. 10 min
B. 12 min
C. 15 min
D. 8 min

9.
There are three pipes connected with a tank. The first pipe can fill 1/2 part of the tank in 1 h, second pipe can fill 1/3 part of the tank in 1 h. Third pipe is connected to empty the tank. After opening all the three pipes, 7/12 part of the tank can be filled in 1 h, then how long will third pipe take to empty the full tank.
Options
A. 3 h
B. 4 h
C. 5 h
D. 6 h

10.
Two pipes can fill a tank in 20 and 24 min, respectively and a waste pipe can empty 6 gallon per min. All the three pipes working together can fill the tank in 15 min. Find the capacity of the tank.
Options
A. 210 gallon
B. 50 gallon
C. 150 gallon
D. 240 gallon

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