SOLUTION: a pump can fill a tank in 2 hours because of leakage problem it took 20 mnutes more to fill the tank . the plant supervisor wants to find that how much time would the leak take to

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Question 921472: a pump can fill a tank in 2 hours because of leakage problem it took 20 mnutes more to fill the tank . the plant supervisor wants to find that how much time would the leak take to empty a full tank
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
RATES
Pump Expected, 1%2F2
Leak, -1%2Fu
Pump Plus Leak,1%2F%282%261%2F3%29

The rates are additive for the two agents working simultaneously. The choice of giving the leak a negative sign or simply to subtract the absolute value depends on how you want to handle this; just understand that the pump and the leak are not in the same one-dimensional direction.

You can take u as a positive number; your way of handling the sum of the rates could be either of these:
pump + leak = both together, and "leak" rate is a negative number.
OR
pump-leak=BothTogether, and "leak" rate is a positive number.

highlight_green%281%2F2-1%2Fu=1%2F%282%261%2F3%29%29

1%2F2-1%2Fu=1%2F%287%2F3%29
1%2F2-1%2Fu=3%2F7
LCD is 14u
7u-14=6u
highlight%28u=14%29

The leak by itself can empty the tank in 14 hours.