Two pipes A amp B can fill the tank in 12 hours and 36 hours respectively If both the pipes are open...........

Quantitative Aptitude ( CCS) Pipes&cistern

Two pipes A & B can fill the tank in 12 hours and 36 hours respectively. If both the pipes are opened simultaneously, how much time will be required to fill the tank?

6 hrs

7 hrs

8 hrs

9 hrs

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Explanation:

If a pipe requires 'x' hrs to fill up the tank, then part filled in 1 hr = 1/x
If pipe A requires 12 hrs to fill the tank, then part filled by pipe A in 1 hr = 1/12
If pipe B requires 36 hrs to fill the tank, then part filled by pipe B 1 hr = 1/36
Hence, part filled by (A + B) together in 1 hr = 1/12 + 1/36
= 48 / 432 = 1/9
In 1 hr both pipes together fill 1/9th part of the tank. This means, together they fill the tank in 9 hrs.

Hence, option 4 is the correct answer.