Taps A, B and C can fill a tank in 6 hours, 8 hours and 12 hours, resp

1.	Taps A, B and C can fill a tank in 6 hours, 8 hours and 12 hours, respectively. Tap Dcan empty out the tank in 4 hours. The four taps, A, B, C and D, are allowed to runfor 4 hours, after which Tap D is closed. How long will it take for the 3 taps to fill theremaining tank?
Answer» Time taken by tap A to FILL the tank = 6 hrs. WORK done in 1 hour by tap A = 1/6 Time taken by tap B to fill the tank = 8 hrs. Work done in 1 hour by tap B = 1/8 Time taken by tap C to empty the tank = 4 hrs. Work done in 1 hour by tap C = 1/4 ∴ Work done to fill the tank if all of them are OPENED together = 1/6 + 1/8 - 1/4= (4+3-6)/24 =1/24 ∴ Time taken to fill the tank if all are opened together is = 24 hours= 1 day

Taps A, B and C can fill a tank in 6 hours, 8 hours and 12 hours, respectively. Tap Dcan empty out the tank in 4 hours. The four taps, A, B, C and D, are allowed to runfor 4 hours, after which Tap D is closed. How long will it take for the 3 taps to fill theremaining tank?

Answer»

Time taken by tap A to FILL the tank = 6 hrs.

WORK done in 1 hour by tap A = 1/6

Time taken by tap B to fill the tank = 8 hrs.

Work done in 1 hour by tap B = 1/8

Time taken by tap C to empty the tank = 4 hrs.

Work done in 1 hour by tap C = 1/4

∴ Work done to fill the tank if all of them are OPENED together =

1/6 + 1/8 - 1/4= (4+3-6)/24 =1/24

∴ Time taken to fill the tank if all are opened together is = 24 hours= 1 day

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Taps A, B and C can fill a tank in 6 hours, 8 hours and 12 hours, respectively. Tap Dcan empty out the tank in 4 hours. The four taps, A, B, C and D, are allowed to runfor 4 hours, after which Tap D is closed. How long will it take for the 3 taps to fill theremaining tank?​

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Taps A, B and C can fill a tank in 6 hours, 8 hours and 12 hours, respectively. Tap Dcan empty out the tank in 4 hours. The four taps, A, B, C and D, are allowed to runfor 4 hours, after which Tap D is closed. How long will it take for the 3 taps to fill theremaining tank?