thank youa、b相距540km,甲乙往返于a、b之间,到达对方出发地立即返回,乙比甲快,两车同时从a出发后第一次和第二次相遇都在途中p地,那么,当两车第三次相遇时,乙共行多少千米?

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thank youa、b相距540km,甲乙往返于a、b之间,到达对方出发地立即返回,乙比甲快,两车同时从a出发后第一次和第二次相遇都在途中p地,那么,当两车第三次相遇时,乙共行多少千米?
thank you
a、b相距540km,甲乙往返于a、b之间,到达对方出发地立即返回,乙比甲快,两车同时从a出发后第一次和第二次相遇都在途中p地,那么,当两车第三次相遇时,乙共行多少千米?

thank youa、b相距540km,甲乙往返于a、b之间,到达对方出发地立即返回,乙比甲快,两车同时从a出发后第一次和第二次相遇都在途中p地,那么,当两车第三次相遇时,乙共行多少千米?
从出发到第一次相遇时,甲乙两辆汽车行驶的路程之和是两个单程,时间为2份,乙车行驶了1个单程+bp段
从出发到第二次相遇时,甲乙两辆汽车行驶的路程之和是四个单程,时间为4份,乙车行驶了2个单程+ap段
2个单程+ap段=(1个单程+bp段)*4/2=2个单程+bp段*2
则ap段=bp段*2
ap段:bp段=2:1
bp段=540×1/(1+2)=180千米
从出发到第三次相遇,两辆汽车共行驶了6个单程,
乙车共行驶了 (1个单程+bp段)*6/2=(540+180)*3=2160千米

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