题目

Working together at their respective constant rates, Bob and Sam can mow a lawn in 12 hours. If Bob’s rate is twice Sam’s rate, how many hours would it take Bob, working alone, to mow the lawn?


选项

A.

15

B.

18

C.

24

D.

32

E.

36

解析

\(\frac{1}{b} + \frac{1}{s} = \frac{1}{12}\) \(\frac{1}{b} = \frac{2}{s}\) 可得 \(2b = s\) 代入得: \(\frac{3}{2b} = \frac{1}{12}\) 求解得:\(b = 18\) 因此 \(s = 36\) 答案是B
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