Question

Two pipes A and B can fill a cistern in `27 1/2` minutes and 35 minutes respectively. Both pipes are opened. The cistern will be filled in just 25 minutes, if the pipe B is turned off after:

Q: Two pipes A and B can fill a cistern in `27 1/2` minutes and 35 minutes respectively. Both pipes are

Let the pipe B be turned off after x minutes Then, Part filled by (A + B) in x minutes + Part filled by A in (25 - x) minutes = 1 x(2/55 - 1/35) + (25 - x) x 2/55 = 1 x/35 = 1 - 50/55 x = 35/11 or 3(2/11) minutes

A 5(1/11) minutes

B 7(5/11) minutes

C 3(2/11) minutes

D 9(6/11) minutes

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Question

Two pipes A and B can fill a cistern in `27 1/2` minutes and 35 minutes respectively. Both pipes are opened. The cistern will be filled in just 25 minutes, if the pipe B is turned off after:

Solution

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