Question
Pipe 'A' alone takes 16 minutes to fill half of the
empty tank. Pipe 'B' is thrice as efficient as pipe 'A'. Find the percentage of the tank filled by pipes 'A' and 'B' together in 6 minutes.Solution
Time taken by pipe 'A' alone to fill the entire tank = 16 × 2 = 32 minutes Let the efficiency of pipe 'A' = x units/minute Then, total capacity of the tank = 32x units Efficiency of pipe 'B' = 3x units/minute Work done in 6 minutes = (x + 3x) × 6 = 24x units Percentage of tank filled = (24x / 32x) × 100 = 75%
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