夏天干旱,甲、乙两家请人来挖井。阴天时,甲家挖井需要8天,乙家需要10天;晴天时,甲家工作效率下降40%,乙家工作效率下降20%。两家同时开工并同时挖好井...

作者: rantiku 人气: - 评论: 0
问题 夏天干旱,甲、乙两家请人来挖井。阴天时,甲家挖井需要8天,乙家需要10天;晴天时,甲家工作效率下降40%,乙家工作效率下降20%。两家同时开工并同时挖好井,问甲家挖了几个晴天? A.2天 B.8天 C.10天 D.12天
选项
答案 C
解析 设一口井的总工作量为80,则甲家阴天效率为10,晴天效率为6。乙家阴天效率为8,晴天效率为8x(1-20%)=6.4。设挖了x个晴天,y个阴天,则有6x+10y=80,6.4x+8y=80,解得x=10,y=2。
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