Question
Tap A is 50% more efficient than tap B. Both the taps
together can fill the tank in 9 hours. Find the time taken by tap C, which is 25% more efficient than tap B, to fill the tank alone.Solution
Let, time taken by tap B to fill the tank be x hours,
So, time taken by tap A to fill the tank = x/1.5 hours According to question,
1/x + 1/(x/1.5) = 1/9
1/x + 1.5/x = 1/9
x = (9 × 2.5) = 22.5 So, time taken by tap C to fill the tank = 22.5/1.25 = 18 hours
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