题目
A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. B alone can do the whole work in
解析
设B的工作效率为\( \frac{1}{t} \)(\( t \)是B完成工作的时间)。
A的工作效率是B的3倍,即\( \frac{3}{t} \);同时A的工作效率也可表示为\( \frac{1}{t-10} \)(因为A比B少用10天)。
将A的两个效率表达式联立:
\[ \frac{3}{t} = \frac{1}{t-10} \]
求解:
\[ 3(t-10) = t \]
\[ 3t - 30 = t \]
\[ 2t = 30 \]
\[ t = 15 \]
答案:A