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Question 1:
Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:
A. 3 9/17 hours
Feedback Pipes A and B can fill the tank in 5 and 6 hours respectively. Therefore,
part filled by pipe A in 1 hour =1/5
part filled by pipe B in 1 hour = 1/6
Pipe C can empty the tank in 12 hours. Therefore,
part emptied by pipe C in 1 hour =1/12
Net part filled by Pipes A,B,C together in 1 hour=1/5+1/6-1/12=17/60
i.e., the tank can be filled in 60/17=3 9/17 hours.
B. 1 13/17 hours
C. 2 8/11 hours
D. 4 1/2 hours

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