一辆卡车和一辆客车分别从甲、乙两城同时出发,相向而行,卡车到达乙城后立即返回,客车到达甲城后也立即

2025-03-13 17:40:27
推荐回答(1个)
回答1:

卡车速度:.客车 =4:3
第一次相遇时,二车共行了一个全程,卡车走了全程的4/7,客车行了:3/7
第二次相遇 时,二车共行了三个全程,则卡车应该行:3*4/7=12/7个全程。

二次相遇点之间的距离是全程的:(12/7-1)+4/7-1=2/7

所以距离是:24/(2/7)=84千米
设甲乙两地相距S
如图
由于两车的速度之比为4:3,那么它们每次相遇时行驶的距离都等于速度之比
所以,第一次相遇之时(黑线部分),两车一共行驶的距离就是甲乙两地的距离S,所以:第一次相遇时甲行驶的距离为4s/7,乙行驶的距离为3s/7
从第一次相遇到第二次相遇(红线部分),两车一共行驶的距离为甲乙两地距离的2倍,即2S。所以,从第一次相遇到第二次相遇时甲行驶的距离为2s*(4/7)=8s/7,乙行驶的距离为2s*(3/7)=6s/7
那么,第一次相遇点与第二次相遇点之间的距离=(8s/7)-2*(3s/7)=2s/7
(或者,=(6s/7)-(4s/7)=2s/7)
那么,2s/7=24
所以,s=84

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