1995 AMC 8 Problem 25
Below is the professionally curated solution for Problem 25 of the 1995 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1995 AMC 8 solutions, or check the answer key.
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Difficulty rating: 1260
25.
Buses from Dallas to Houston leave every hour on the hour. Buses from Houston to Dallas leave every hour on the half hour. The trip from one city to the other takes hours. Assuming the buses travel on the same highway, how many Dallas-bound buses does a Houston-bound bus pass on the highway (not in the station)?
Solution:
Consider a bus leaving Dallas at arriving in Houston at It meets every Dallas-bound bus that is on the highway during that window.
Dallas-bound buses leave Houston on the half hour and take hours. The ones sharing the road (meeting away from a station) are those that left Houston at which is buses.
Thus, the correct answer is D .
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