Pipe A fills in 8 hrs, B in 6. C empties in 12. Time to fill tank together?
Correct answer: C. 4.8
- A. 3.2
- B. 4
- C. 4.8
- D. 5
Explanation
To solve this problem, calculate the rate of each pipe: Pipe A fills the tank at a rate of 1/8 per hour, Pipe B fills it at 1/6 per hour, and Pipe C empties it at a rate of 1/12 per hour. The net rate is the sum of the rates of filling minus the rate of emptying: 1/8 + 1/6 - 1/12. Simplifying this gives us a net rate of 1/4.8 per hour. Therefore, the time taken to fill the tank together is 4.8 hours.Options 3.2 and 4 are incorrect as they underestimate the time required, while option 5 overestimates it.
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