Question
A tank can be filled by a pipe in 24 minutes. There is also
a leak that can empty the full tank in 40 minutes. Determine the time to fill half the tank when both are working together.Solution
ATQ,
Let the total tank capacity be 120 litres (LCM of 24 and 40)
Efficiency of filling pipe = 120 ÷ 24 = 5 litres/minute
Efficiency of leak = 120 ÷ 40 = -3 litres/minute
Required time = (0.5 × 120) ÷ (5 - 3) = 30 minutes
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