A fills tank in 5 hrs. B in 10 hrs. With a leak that empties 1/20/hr, fill time = ?
Correct answer: A. 4 hrs
- A. 4 hrs
- B. 5 hrs
- C. 6 hrs
- D. 7 hrs
Explanation
To solve this problem, determine the individual filling rates: A fills 1/5 of the tank per hour, and B fills 1/10 of the tank per hour. Combined, their rate is 1/5 + 1/10 = 3/10 of the tank per hour. The leak empties the tank at a rate of 1/20 per hour. Therefore, the net filling rate is 3/10 - 1/20 = 1/4 of the tank per hour. This means the tank will be filled in 4 hours. Options B, C, and D suggest different incorrect net rates or fail to account for the effect of the leak correctly.
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