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Math: Exponents, Roots, and Word Problems
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Faucet A fills a tank in 3 hours, and faucet B drains the tank in 9 hours. What fraction of the tank will be filled, if both the faucets are kept running for 1½ hours, and the tank is originally empty?
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A
1/3
💡 Explanation:
Faucet A fills at 1/3 tank per hour, faucet B drains at 1/9 tank per hour. Net fill rate = 1/3 - 1/9 = 2/9 tank per hour. In 1.5 hours: 2/9 × 3/2 = 1/3 tank. Option B is correct.