SOLUTION: A water tub having two tap attached for cold and hot water and drain with drain piug to drain the water any one of the tap is set open and the drain plug is applied the tub gets fi

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Question 831497: A water tub having two tap attached for cold and hot water and drain with drain piug to drain the water any one of the tap is set open and the drain plug is applied the tub gets filled in 4 Hours.In case of a filled tub if Drain plug is plugged out,the tub gets emptied in 3Hours.Now both the taps are set open with the drain plug out ,how much time it will take for tub to fill up
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A water tub having two taps attached for cold and hot water and drain, with drain plug to drain the water.
If any one of the taps is set open, and the drain plug is applied, the tub gets filled in 4 Hours.
In case of a filled tub, if Drain plug is plugged out, the tub gets emptied in 3 Hours.
Now both the taps are set open with the drain plug out; how much time it will take for tub to fill up?
:
Let t = time for this to be accomplished
Let a full tank = 1
:
t%2F4 + t%2F4 - t%2F3 = 1
multiply by 12 and cancel the denominators, results:
3t + 3t - 4t = 12
2t = 12
t = 12/2
t = 6 hrs to fill the tub