Machines A and B both shrink-wrap CDs continuously, each working at a constant rate, but Machine B works 50% faster than Machine A

题目

Machines A and B both shrink-wrap CDs continuously, each working at a constant rate, but Machine B works 50% faster than Machine A. If Machine B shrink-wraps 48,000 more CDs in a 24-hour period than Machine A does, what is Machine A’s shrink-wrapping rate in CDs per hour?

选项

4,000

6,000

8,000

12,000

16,000

解析

设机器A的效率为\( x \)单位/小时，那么机器B的效率为\( 1.5x \)单位/小时。它们24小时的工作量分别为： - 机器A：\( 24x \) - 机器B：\( 24×1.5x = 36x \) 已知24小时内两者的工作量差为48000，因此： \[ 36x - 24x = 48000 \] \[ 12x = 48000 \] \[ x = 4000 \] 答案选项：A

在线客服

官方微信

公众号