Question

two taps A and B can fill an overhead tank in 6 hours and 9 hours respectively after 2 hours tab A is closed in how many hours will tap be fill the remaining tank​

Answer 1

Answer: 4 hours

Explanation:

Part of tank tap A fills in 1 hour = 1/6
Part of tank tap B fills in 1 hour = 1/9

Part of tank filled by both taps in 1 hour = 1/6 + 1/9 = (3 + 2)/18 = 5/18

In 2 hours = 5×2/18 = 5/9

Part of tank remaining for tap B to fill = 1 - 5/9 = 4/9

Hours taken for tap B to fill the remaining tank = (4/9)/(1/9) = 4

Hope it helped