Top A can fill a water tank in 25 minutes, tap B can fill the same tank in 40 mi

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Question
Top A can fill a water tank in 25 minutes, tap B can fill the same tank in 40 minutes and tap C can empty the tank in 30 minutes. If all the three taps are opened together, in how many minutes will the tank be completely filled up or emptied?
Options
A. 32/13
B. 155/13
C. 82/13
D. 3111/19

Correct Answer

3111/19

Explanation

Required answer = (25 x 40 x 30) / (40 x 30 + 25 x 30 - 25 x 40)
= 600 / 19 = 31¹¹/₁₉ minutes

Pipes and Cistern problems

Search Results

1.
A water tank is 2/5th full pipe A can fill the tank in 10 minutes and the 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?
Options
A. 6 minutes to empty
B. 6 minutes to fill
C. 9 minutes to empty
D. 9 minutes to fill

2.
Two pipes X and Y can fill a cistern in 24 min. and 32 min. respectively. If both the pipes are opened together, then after how much time Y should be closed so that the tank is full in 18 minutes?
Options
A. 6 min.
B. 8 min.
C. 10 min.
D. 12 min.

3.
A leak in the bottom of a tank can empty the full tank in 6 hours. An Inlet pipe fills water at the rate of 4 litres per minute. When the tank is full, the Inlet is opened and due to the leak the tank is empty in 8 hours. The capacity of the tank is?
Options
A. 5260 litres
B. 5760 litres
C. 5846 litres
D. 6970 litres

4.
A pipe can fill a cistern in 12 minutes and another pipe can fill it in 15 minutes, but a third pipe can empty it in 6 minutes. The first two pipes are kept open for 5 minutes in the beginning and then third pipe is also opened. In what time is the cistern emptied?
Options
A. 30 min.
B. 33 min.
C. 371 / 2 min.
D. 45 min.

5.
Three pipes A, B and C can fill a cistern in 10 hours, 12 hours and 15 hours respectively. First A was opened. After 1 hour, B was opened and after 2 hours from the start of A, C also opened . Find the time in which the cistern is just full?
Options
A. 2 hrs.
B. 4 hrs.
C. 2 hrs. 52 min.
D. 4 hrs. 52 min.

6.
A cistern can be filled by two pipes. A and B in 12 minutes and 14 minutes respectively and can be emptied by a third pipe C in 8 minutes. If all the taps be turned on at the same moment, what part of cistern will remain unfilled at the end of 7 minutes?
Options
A. 5/24
B. 19/24
C. 7/24
D. 17/24

7.
A cistern can be filled by two pipes in 30 and 40 minutes respectively. Both the pipes were opened at once, but after some time the first was shut up and the cistern was filled in 10 minutes more. How long after the pipes had opened was the first pipe shut up?
Options
A. 90/ 11 minutes
B. 90/7 minutes
C. 90/13 minutes
D. 45/2 minute

8.
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

9.
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

10.
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

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