A tank fitted with an inlet takes 1 hr to fill completely. The tap was turned on when the tank was empty. When the tank was half filled , it developed a leak and as a result the tank took 65 minutes to completely fill. As soon as the tank got filled completely, the tap was turned off and the leakage continued. How long will it take for the leakage to empty the tank completely ??
Let us assume that the capacity of the tank is 60 L.silverflamein wrote:A tank fitted with an inlet takes 1 hr to fill completely. The tap was turned on when the tank was empty. When the tank was half filled , it developed a leak and as a result the tank took 65 minutes to completely fill. As soon as the tank got filled completely, the tap was turned off and the leakage continued. How long will it take for the leakage to empty the tank completely ??
Hence,
Only tap : Entry of 60 L per 60 min = 1 L/min
Tap + Leak : Entry of 30 L per 35 min = 30/35 L/min = 6/7 L/min
Therefore, only leak : Exit of (1 - 6/7) = 1/7 L/min
Thus 1/7 L leaves the tank through the leakage in 1 minute.
--> 60 L leaves the tank through the leakage in 60*7 minutes = 7 hours
Thus, it will take 7 hours for the leakage to empty the tank completely.
