a) 200 liters
b) 350 liters
c) 456 liters
d) 567 liters
Answer: d
Explanation: Pipe A can fill the empty tank in = 0.9 hours
So work rate of the Pipe A = $$\frac{{100}}{{0.9}}$$ % per hour
Pipe B can empty the tank in = 0.7 hours
Negative Work rate of B = $$\frac{{100}}{{0.7}}$$ % per hour. (B is removing water, so, taken as negative work)
Tank fill per hour = $$\frac{{100}}{{0.7}} – \frac{{100}}{{0.9}}$$ = 31.75% per hour
Time Taken to empty the tank = $$\frac{{100}}{{31.75}}$$ ≈ 3.15 hours
Capacity of the tank = 3.15 × 180 = 567 liters
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