HMMT 十一月 2013 · THM 赛 · 第 1 题

HMMT November 2013 — THM Round — Problem 1

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

解析

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