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HMMT 十一月 2013 · THM 赛 · 第 1 题

HMMT November 2013 — THM Round — Problem 1

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. [ 2 ] Two cars are driving directly towards each other such that one is twice as fast as the other. Thedistance between their starting points is 4 miles. When the two cars meet, how many miles is thefaster car from its starting point?
解析

英文解析

  1. [ 2 ] Two cars are driving directly towards each other such that one is twice as fast as the other. Thedistance between their starting points is 4 miles. When the two cars meet, how many miles is thefaster car from its starting point?
    Answer: Note that the faster car traveled twice the distance of the slower car, and together,8
    the two cars traveled the total distance between the starting points, which is 4 miles. Let the distance 3
    x 8 8
    that the faster car traveled be x . Then, x + = 4 = ⇒ x = . Thus, the faster car traveled miles
    2 3 3
    from the starting point.