Problem

26. 一只野兔逃出80步后猎狗才追它,野兔跑 8步的路程猎狗只需跑3步,猎狗跑4步的时间兔子能跑9 步。猎狗至少要跑多少步才能追上野兔?
解:狗跑12步的路程等于兔跑32步的路程,狗跑12步的时间等于兔跑27步的时间。所以兔每跑27步,狧 追上5步(兔步),狗要追上80步(兔步)需跑[27× (80÷5)+80]÷8×3=192 (步)。
27.甲、乙两人在铁路旁边以同样的速度沿铁路方向相向而行, 恰好有一列火车开来, 整个火车经过甲身 用了18秒,2分后又用15秒从乙身边开过。问:
(1) 火车速度是甲的速度的几倍?

Answer

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Answer

4. Final Answer: 2017 times A's speed

Steps

Step 1 :1. Set up the equation to find the relationship between the distance the train travels in 18 seconds and 15 seconds: distancetrain18sdistancetrain15s=18×speedtrain15×speedtrain

Step 2 :2. Simplify the equation to find the relationship between the train's speed and A's speed: distancetrain120sdistanceA120s+distancetrain18s=120×speedtrain120×speedA+18×speedtrain

Step 3 :3. Solve the simplified equation to find the relationship between the train's speed and A's speed: 20×speedA17×speedtrain

Step 4 :4. Final Answer: 2017 times A's speed

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