题目

Working together, Jeff and Ashley painted their apartment in 6 hours. If Jeff had been working alone, he could have painted the whole apartment in 10 hours. How many hours would it have taken Ashley to paint the apartment alone?



选项

A.

4

B.

12

C.

15

D.

16

E.

20

解析

杰夫和艾希莉一起粉刷公寓需要6小时。如果杰夫单独粉刷,他可以在10小时内完成整个公寓的粉刷。那么艾希莉单独粉刷公寓需要多少小时? 已知:\( \frac{1}{J} + \frac{1}{A} = \frac{1}{6} \) 同时,杰夫单独粉刷整个公寓需要10小时,因此: \[ \frac{1}{10} + \frac{1}{A} = \frac{1}{6} \] \[ \frac{1}{A} = \frac{1}{6} - \frac{1}{10} = \frac{4}{60} = \frac{1}{15} \] \[ A = 15 \] 艾希莉单独粉刷公寓需要15小时。 答案:C
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