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Let the capacity of the tank be ‘80x’ litres.
So, efficiency of pipe ‘A’ = 80x ÷ 16 = ‘5x’ litres/hour
For: I
Efficiency of pipe ‘B’ = 5x × 0.60 = ‘3x’ litres/hour
Time taken by both pipes together to fill the tank = 80x ÷ (3x + 5x) = 10 hours
Therefore, statement ‘I’ is true.
For: II
Efficiency of pipe ‘B’ = 5x × 0.75 = 3.75x litres/hour
Time taken by both pipes together to fill the tank = 80x ÷ (3.75x + 5x) ~ 9.14 hours
Therefore, statement ‘II’ is not true.
For: III
Efficiency of pipe ‘B’ = 5x × 1.4 = 7x litres/hour
Time taken by both pipes together to fill the tank = 80x ÷ (7x + 5x) ~ 6.66 hours
Therefore, statement ‘III’ is not true.
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