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Pipes and Cistern - General Aptitude

Q1:

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?

A 15 min.

B 20 min.

C 27.5 min.

D 30 min.

ANS:D - 30 min.

Part filled by (A + B) in 1 minute = 1 + 1 = 1 .
60 40 24
Suppose the tank is filled in x minutes.
Then, x 1 + 1 = 1
2 24 40
x x 1 = 1
2 15
x = 30 min.