Tap A fills a tank in 10 hours and B can fill it in 15 hours Both are opened simultaneously Sometime...........

Quantitative Aptitude ( CCS) Pipes&cistern

Tap A fills a tank in 10 hours and B can fill it in 15 hours. Both are opened simultaneously. Sometimes later tap B was closed, then it takes total 8 hours to fill up the whole tank. After how many hours B was closed?

2 hrs

3 hrs

4 hrs

5 hrs

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Explanation:

Let B be closed after x hrs. Then,
Part filled by (A+B) in x hrs + part filled by A in (8 -x) hrs = 1.
.'. x(1/10 + 1/15) + (8 - x)*1/10 = 1
=> x = 3
Hence, B must be closed after 3 hrs.