A tank has leakage in its bottom drain the water of the tank in 15 hours Two tap A and B can fill th...........

Quantitative Aptitude (CDS) Pipes&cistern

A tank has leakage in its bottom, drain the water of the tank in 15 hours. Two tap A and B can fill the tank in 9 and 12 hours. If tank A and B fill the tank together for 2/3 of the tank. Remaining tank filled by only B tap. Total time to fill the tank?

580/23 hours

580 hours

290/23 hours

17 hours

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Explanation:

Let up to 2/3 it fill in t time
t(1/9 + 1/12 -1/15) =2/3
t(20+15-12) /180 =2/3
t=120/23
t1(1/12 -15) =1/3
t1 =20
Total time =t+t1
=20+120/23
=580/23 hours