[背景资料]一棉花种植区的农民研制出采摘棉花的单人便携式采棉机,采摘效率高,能耗低,绿色环保,经测试

2025-03-15 22:41:39
推荐回答(1个)
回答1:

(1)∵一个人操作该采棉机的采摘效率为35公斤/时,大约是一个人手工采摘的3.5倍,
∴一个人手工采摘棉花的效率为:35÷3.5=10(公斤/时),
∵雇工每天工作8小时,
∴一个雇工手工采摘棉花,一天能采摘棉花:10×8=80(公斤);

(2)由题意,得80×7.5a=900,
解得a=
3
2

∴雇工工钱的标准为:每采摘1公斤棉花
3
2
元;

(3)设张家雇佣x人采摘棉花,则王家雇佣2x人采摘棉花,其中王家所雇的人中有
4x
3
的人自带采棉机采摘,
2x
3
的人手工采摘.
∵张家雇佣的x人全部手工采摘棉花,且采摘完毕后,张家付给雇工工钱总额为14400元,
∴采摘的天数为:
14400
80x×
3
2
,即:
120
x

∴王家这次采摘棉花的总重量是:(35×8×
4x
3
+80×
2x
3
)×
120
x
=51200(公斤).

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