A cistern can be filled by two pipes A and B in 4 hours and 6 hours respectively

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Question
A cistern can be filled by two pipes A and B in 4 hours and 6 hours respectively. When full, the tank can be emptied by a third pipe C in 8 hours . If all the taps be turned on at the same time, the cistern will be full in?
Options
A. 3 hours 18 min.
B. 3 hours 26 min.
C. 3 hours 42 min.
D. 3 hours 48 min.

Correct Answer

3 hours 26 min.

Explanation

Net filling in 1 hour = (1/4 + 1/6 - 1/8) = 7/24
? Time taken to fill the cistern = (24/7) hrs. = 3 hrs. 26 min.

Pipes and Cistern problems

Search Results

1.
A tap can fill a tank in 16 minutes and another can empty it in 8 minutes. If the tank is already half full and both the taps are opened together, the tank will be?
Options
A. Filled in 12 min.
B. Emptied in 12 min.
C. Filled in 8 min.
D. Emptied in 8 min.

2.
Three pipes A, B and C can fill a tank separately in 8 h,10 h and 20h, respectively. Find the time taken by all the three pipes to fill the tank when these pipes are opened together?
Options
A. 57/11 h
B. 47/11 h
C. 87/11 h
D. 37/11 h

3.
An outlet pipe can empty a cistern in 30 min, then what part of the cistern will it empty in 1 min?
Options
A. 1/20
B. 1/15
C. 1/30
D. 1/18

4.
If a pipe fills a tank in 6 h, then what part of the tank will the pipe fill in 1 h?
Options
A. 1/3
B. 1/6
C. 1/4
D. 1/5

5.
A pipe can fill a tank in 20 h. Due to a leak in the bottom, it is filled in 40 h. If the tank is full, how much time will the leak take to empty it?
Options
A. 40 h
B. 30 h
C. 50 h
D. 30 h

6.
One tap can fill a cistern in 2 hours and another can empty the cistern in 3 hours. How long will they take to fill the cistern if both the taps are opened?
Options
A. 5 hours
B. 6 hours
C. 7 hours
D. 8 hours

7.
A pipe can fill a tank in x hours and another can empty it in y hours. They can together fill it in (y > x)?
Options
A. (x - y) hours
B. (y - x ) hours
C. xy / (x - y) hours
D. xy / ( y - x) hours

8.
A tap can fill a cistern in 8 hours and another can empty it in 16 hours. If both the taps are opened simultaneously, the time (in hours) to fill the tank is?
Options
A. 8
B. 10
C. 16
D. 24

9.
Pipes A and B can fill a tank in 10 hours and 15 hours respectively. Both together can fill it in?
Options
A. 121/2 hours
B. 6 hours
C. 5 hours
D. None of these

10.
Three are two taps to fill a tank while a third to empty it. When the third tap is closed, they can fill the tank in 10 minutes and 12 minutes respectively. If all the three taps be opened, the tank is filled in 15 minutes. If the first two taps are closed, in what time can the third tap empty the tank when it is full?
Options
A. 7 min.
B. 9 min. and 32 sec.
C. 8 min. and 34 sec.
D. 6 min.

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