2018 AMC 8 Problem 6
Attempt Problem 6 of the 2018 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2018 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
6.
On a trip to the beach, Anh traveled miles on the highway and miles on a coastal access road. He drove three times as fast on the highway as on the coastal road. If Anh spent minutes driving on the coastal road, how many minutes did his entire trip take?
Answer: C
Small hint:
Use the coastal-road information to find Anh’s coastal-road speed.
Big hint:
The highway speed is three times the coastal-road speed, so the highway time follows from the highway miles.
Video solution:
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Written solution:
Anh drove miles on the coastal road in minutes. Therefore, his speed on the coastal road (notated as ) is This is mile per minute. Since he drives times as fast on the highway (i.e. ), his highway speed is mile per minute. Armed with these two facts, we know that Anh drove for minutes on the coastal road, and he drove miles at mile per minute. This means it takes minutes to drive the miles on the highway.
As such, the total travel time is minutes.
Thus, the correct answer is C.
Problem 6 in other years
- 1985 AMC 8
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