A full tanker will become empty in 6 hours because of the leak at the bottom of the tank. A inlet pipe fills water at the rate of 3 litres a minute. Once the tanker becomes full, the inlet pipe.This time the tank becomes empty in 8 hours because of the leak at the bottom of the tank Find the capacity of the tank(in litres) is :
Solution: Formula: If a pipe can fill a tank in x hours and another pipe can empty the full tank in y hours, then on opening both the pipes, the net part emptied in 1 hour = (1/y - 1/x) (where x > y).
.'. 1/8 = 1/6 - 1/x => 1/x = 1/8 -1/6 => 1/x = 2/48 => 1/x =1/24
Work done by the inlet in 1 min. = 1(24*60) = 1/1440.
Volume of 1/1440 part = 3 litres.
Volume of total tank = (1440*3) = 4320 litres.
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