Student: A faucet, partially on, fills a bucket with water at a rate of r buckets per minute. If the faucet is turned up it will fill the same bucket at a rate r + 2 buckets per minute, and the same bucket would fill in 2/3 minute less. What is the value of r?\nOptions:\n(A) 5\n(B) 4\n(C) 3\n(D) 2\n(E) 1.
Another student: Let's say, hmmm...

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Equation: 1/r = 1/(r + 2) + 2/3\nPlug options into the equation:\nE fits: 1/1 = 1/(1 + 2) + 2/3 Final answer: (E).
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