4. Two taps take 5 hours and 10 hours to fill a tank. two outlets take 15 hrs and 30 hrs to empty the tank. if both taps and both outlets are opened, how long will it take to fill the tank?
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5hrs 20mins ...........................
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Answer:
TIME TAKEN BY FIRST TAP TO FILL THE TANK = 1/5 HRS
TIME TAKEN BY SECOND TAP TO FILL THE TANK= 1/10 HRS
TIME TAKEN BY FIRST OUTLET TO EMPTY THE TANK = 1/15 HRS
TIME TAKEN BY SECOND OUTLET TO EMPTY THE TANK = 1/30 HRS
BTP, 1/5 + 1/10 - 1/15 + 1/30
3/10 - 3/30
9 - 3 / 30
6/30
1/5
THEREFORE, TIME TAKEN TO FILL THE TANK = 5HRS
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