数学题:李爷爷家住在半山腰
- 时间:2020-05-01 11:05:58
- 分类:数学世界
- 阅读:128 次
数学题:李爷爷家住在半山腰,一天王明在下午1时离开家,先走一段平路,然后爬到半山腰,给李爷爷家送粮食,半小时后原路返回,下午3时半回到家,已知他步行速度平路每小时4千米,上坡每小时3千米,下坡每小时6千米,王明来回一共走了多少千米?
数学题解答:先算出上下坡的平均速度,用设数法。
上下坡各行 1 千米需要 1÷3+1÷6 = 1/2 小时,
则上下坡平均每小时行 (1+1)÷(1/2) = 4 千米;
且平路每小时 4 千米,则全程平均每小时行 4 千米;
下午1时到下午3时半,共 2.5 小时,扣去在李爷爷家停留的半小时,
王明来回的步行时间为 2.5-0.5 = 2 小时,一共走了 4×2 = 8 千米。
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