一次越野赛跑中,当小明跑1600m时,小刚跑了1450m.此后两人勿别以am/s和bm/s匀速跑.又100s小刚追上小明200s时小刚到达终点,300s时小明到达终点.这次越野赛跑的全程为够少米?
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![一次越野赛跑中,当小明跑1600m时,小刚跑了1450m.此后两人勿别以am/s和bm/s匀速跑.又100s小刚追上小明200s时小刚到达终点,300s时小明到达终点.这次越野赛跑的全程为够少米?](/uploads/image/z/2417749-61-9.jpg?t=%E4%B8%80%E6%AC%A1%E8%B6%8A%E9%87%8E%E8%B5%9B%E8%B7%91%E4%B8%AD%2C%E5%BD%93%E5%B0%8F%E6%98%8E%E8%B7%911600m%E6%97%B6%2C%E5%B0%8F%E5%88%9A%E8%B7%91%E4%BA%861450m.%E6%AD%A4%E5%90%8E%E4%B8%A4%E4%BA%BA%E5%8B%BF%E5%88%AB%E4%BB%A5am%2Fs%E5%92%8Cbm%2Fs%E5%8C%80%E9%80%9F%E8%B7%91.%E5%8F%88100s%E5%B0%8F%E5%88%9A%E8%BF%BD%E4%B8%8A%E5%B0%8F%E6%98%8E200s%E6%97%B6%E5%B0%8F%E5%88%9A%E5%88%B0%E8%BE%BE%E7%BB%88%E7%82%B9%2C300s%E6%97%B6%E5%B0%8F%E6%98%8E%E5%88%B0%E8%BE%BE%E7%BB%88%E7%82%B9.%E8%BF%99%E6%AC%A1%E8%B6%8A%E9%87%8E%E8%B5%9B%E8%B7%91%E7%9A%84%E5%85%A8%E7%A8%8B%E4%B8%BA%E5%A4%9F%E5%B0%91%E7%B1%B3%3F)
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一次越野赛跑中,当小明跑1600m时,小刚跑了1450m.此后两人勿别以am/s和bm/s匀速跑.又100s小刚追上小明200s时小刚到达终点,300s时小明到达终点.这次越野赛跑的全程为够少米?
一次越野赛跑中,当小明跑1600m时,小刚跑了1450m.此后两人勿别以am/s和bm/s匀速跑.又100s小刚追上小明200s时小刚到达终点,300s时小明到达终点.这次越野赛跑的全程为够少米?
一次越野赛跑中,当小明跑1600m时,小刚跑了1450m.此后两人勿别以am/s和bm/s匀速跑.又100s小刚追上小明200s时小刚到达终点,300s时小明到达终点.这次越野赛跑的全程为够少米?
100s时两人路程相同
1600+100a=1450+100b
则 b-a=1.5
到达终点时两人走的路程相同
从两人相遇的时刻算起
小明200s的路程相当于小刚100s的路程
即 200a=100b
则 b/a=2
得 a=1.5 b=3
全程 S=1600+300×1.5=2050m