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Question

A large  tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ?


Options:
A .  15 min.
B .  20 min.
C .  27.5 min.
D .  30 min.
Answer: Option D

Part filled  by (A + B) in  1 minute = `(1/60 + 1/40) = 1/24`.

Suppose the tank is filled in `x` minutes.

Then , `x/2(1/24 + 1/40) = 1    hArr     x/2 xx 1/15 = 1     hArr  x = 30` min.



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