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You are trying to fill a bath with both taps o

2022-08-01 21:10:01 问答库 阅读 167 次

问题详情

You are trying to fill a bath with both taps on, but have accidentally left out the plug. Normally the hot water tap takes 8 minutes to fill the hath and the cold water tap takes 10 minutes. However, the water empties out through the plug hole in 5 minutes. How long will it take for the bath to fill?请帮忙给出正确答案和分析,谢谢!

参考答案

正确答案:40 minutes
40 minutes 解析:(设浴缸容量为X,n为三管一起开的充满水的时间,热水充满浴缸要8分钟,所以每分钟充满x/8,同理冷水每分钟充满x/10,而放水管每分钟放水x/5,故可列方程(x/8+x/10—x/5)×n=x,解得n=40,即需40分钟。)

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