Question

A pump can fill the tank in 4 hours.Because of a leak in the tank i took 5(1/2) hours to fill the tank.If the tank is full,how much time will the leak take to empty it ?

Answer 1

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➡Let the Tank capacity be X litres.

➡It gets filled in 4 hours.

➡Tank gets filled in X/4 litres per hour.

➡Due leakage it gets filled in 5(1/2) hours means 5.5 hours.

➡Leakage in tank of (5.5-4) 1.5 hour means, it is X/6 (because 4×1.5).

➡So tank leaks in X/6 litres per hour.

➡Fully Emptying the tank X/6 litres in 5.5 hours.

➡To empty the tank by leakage it needs,

▶X/6 = 5.5

▶X = 5.5×6

▶X = 33 hours.

❇❇Tank will empty in 33 hours by leakage.