Three are two taps to fill a tank while a third to empty it. When the third tap

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Question
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.

Correct Answer

8 min. and 34 sec.

Explanation

Part emptied by the third pipe in 1 min (1/10 + 1/12) - 1/25 = 7/60
So, the full tank will be emptied by third pipe in = (60/7) min. = 8 min. 34 ec.

Pipes and Cistern problems

Search Results

1.
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

2.
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

3.
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

4.
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

5.
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.

6.
A tap can fill a tank in 25 minutes and another can empty it in 50 minutes. Find whether the tank will be filled up or emptied and in how many minutes?
Options
A. Tank is emptied in 20 minutes
B. Tank is filled up in 50 minutes
C. Tank is filled up in 20 minutes
D. Tank is emptied in 25 minutes

7.
Two pipes A and B can fill a tank in 18 and 6 h, respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
Options
A. 41/2h
B. 7 h
C. 6 h
D. 10 h

8.
A cistern can be filled up in 4 h by an inlet A. An outlet B can empty the cistern in 8 h. If both A and B are opened simultaneously, then after how much time will the cistern get filled?
Options
A. 5 h
B. 7 h
C. 8 h
D. 6 h

9.
Pipes A and B can fill a tank in 5 and 6 h, respectively. Pipe C can fill it in 30 h. If all the three pipes are opened together, then in how much time the tank will be filled up?
Options
A. 33/14 h
B. 21/2 h
C. 39/14 h
D. 21/14 h

10.
A tap can fill an empty tank in 12 h and a leakage can empty the tank in 20 h. If tap and leakage both work together, then how long will it take to fill the tank?
Options
A. 25 h
B. 40 h
C. 30 h
D. 35 h

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