A tank can be filled by two pipes A and B in 60 minutes and 40 minutes respectively How many minutes...........

Quant (SSC) Pipes&cistern

A tank 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 tank from empty state if B is used for the first half time and then A and B fill it together for the other half.

15 mins

20 mins

25 mins

30 mins

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Explanation:

Let the total time be x mins.
Part filled in first half means in x/2 = 1/40
Part filled in second half means in x/2 =1/60+1/40=1/24
Total = x/2∗1/40+x/2∗1/24=1
=>x/2(1/40+1/24)=1
=>x/2∗1/15=1
=>x=30mins