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?
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