1.

Two taps A and B can fill an overhead tank in 10 hours and 15 hours respectively. Both the taps are opened for 4 hours and then B is turned off. How much time will A take to fill the remaining tank?

Answer»

The given details are,

Tap A can fill the tank in = 10 hours

Tap A can fill the tank in 1 hour = 1/10

Tap B can fill the tank in = 15 hours

Tap B can fill the tank in 1 hour = 1/15

Both taps together can fill the tank in 1 hour = 1/10 + 1/15

= (3+2)/30 = 5/30

= 1/6

Both taps together can fill the tank in 4 hours = 4 × 1/6 = 2/3

Remaining tank to be filled = 1 – 2/3

= (3-2)/3

= 1/3

∴ Time taken by A to fill the remaining tank = (1/3)/(1/10)

= 10/3

= 3 1/3 hours



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