Pipes and Cisterns Practice Test 3 with solutions

Question : 1 of 7

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Two pipes A and B can fill a tank in 40 and 30 minutes respectively. There is also an outlet pipe C. If all the three pipes are opened simultaneously, then the tank can be filled in 24 minutes. Find the time taken by C to fill the tank?

50 minutes
52 minutes
60 minutes
55 minutes
None of the above

Validate

Solution:

Let the time taken by ‘C’ to empty the tank = x minutes
So, part of tank emptied in 1 minute =

1/x

1/{40}+1/{30} - 1/x

1/{24}

1/x

1/{{40}+1/{30}-1/{24}

1/x

2/{120}

1/x

1/{60}

So, the time taken by Pipe ‘C’ = x = 60 minutes

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