题目
A group of 8 machines that work at the same constant rate can complete 14 jobs in 7 hours. How many hours would it take 17 of these machines to complete 34 of these jobs?
解析
机器数量(M):8
工作时长(H):7
单台机器效率(W):W
工作量(J):14
因此,我们有:
\[
\begin{align*}
J &= M \times H \times W \\
14 &= 8 \times 7 \times W
\end{align*}
\]
因此,\(W = \frac{1}{4}\)
同理,计算所需时长:
\[
34 = 17 \times \frac{1}{4} \times H
\]
因此,所需时长 = 8小时。