HMMT 十一月 2013 · THM 赛 · 第 1 题
HMMT November 2013 — THM Round — Problem 1
题目详情
英文原题
- [ 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
- [ 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.