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An overhead tank has two pipes as inlets...

An overhead tank has two pipes as inlets which can individually fill up the tank in 5 hours and 20 hours respectively. But due to continuous usage of water, the two pipes together take half an hour more than the time they would have taken to completely fill up the tank together without any usage. The water in the full tank can be used when the inlets are closed for x hours. Then x is :

Text Solution

Verified by Experts

Pipe 1 flow rate=`v/5 m^3/h`
Pipe 2 flow rate=`v/20 m^3/h`
Pipe(1+2)=`(v/5+v/20)*t=V`
`(4v+v)/20*t=V`
`t=4hours`
New time to completely fill the tank=4.5 hours
=9/2 hours.
Tank fill in one hour=`V/(9/2)=(2V)/9`
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