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Water is pouring into a tank at a consta...

Water is pouring into a tank at a constant rate. when the tank is full, 10 pumps of equal capacity empty the tank in 12 hrs, while 15 pumps of the same capacity empty the tank in 6 hrs. The time which 25 pumps of the same capacity take to empty the tank, if the tank in initially full, will be :

Text Solution

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Total work=12 hours.
`10/x=1/y=1/12`
`15/x=1/y=1/6`-(1)
Subtracting equation 2 from 1
`5/x=1/6=1/12`
`5/x=1/12`
`-1/y=1/6-3/12`
`=1/y=-1/12`
...
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