Two pipes A and B together can fill a tank in 8 hours Had they been opened separately then B would h...........

Quantitative Aptitude ( CCS) Pipes&cistern

Two pipes A and B together can fill a tank in 8 hours. Had they been opened separately, then B would have taken 12 hours more than A to fill the tank. How much time will be taken by A to fill the tank separately.

8 hrs

10 hrs

12 hrs

16 hrs

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Explanation:

Let the tank be filled by pipe A alone in x hrs.
Then, pipe B will fill it in (x+12) hrs.
.'. 1/x + 1/(x+12) = 1/8
=> 8(x+12+x) = x(x+12)
=> x^2 -12x -96 = 0
=> x = 12