Working simultaneously at an identical constant rate, it takes 6 machines 8 hours to produce y widgets

题目

Working simultaneously at an identical constant rate, it takes 6 machines 8 hours to produce y widgets. How many machines, working at that identical constant rate, are necessary to produce 2y widgets in 4 hours?

选项

解析

6台机器工作8小时可以生产\( y \)个小部件，问需要多少台机器工作4小时来生产\( 2y \)个小部件？ - 时间的变化系数：新时间/原时间 = \( 4/8 \) - 小部件数量的变化系数：新数量/原数量 = \( 2y/y \) 机器数量与需要生产的小部件数量成正比，与工作时间成反比。因此，所需的新机器数量为： \[ 6 × (8/4) × (2y/y) = 24 \] 所以答案是D. 24

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