There are two taps opened to fill the tank in 9 hours A leakage in the bottom of the tank can drain ...........

Quantitative Aptitude (CDS) Pipes&cistern

There are two taps opened to fill the tank in 9 hours. A leakage in the bottom of the tank can drain the water in 13 hours. Tap A fills it in 11 hours. Find the time taken to fill the tank by tap B?

13 hr

11.93 hr

10.29 hr

12.2 hr

Explanation:

Tank filled in 9 hours
Tap A filled in 11 hours
Leakage drain the tank 13 hours
9(1/11 + 1/B -1 /13) =1
18/143 +9/B = 1
9/B =125/143
B=1287/125
B=10.29
B=10.29 hours