2018 AMC 12B Problem 2

Attempt Problem 2 of the 2018 AMC 12B below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2018 AMC 12B solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

2.

Sam drove 9696 miles in 9090 minutes. His average speed during the first 3030 minutes was 6060 mph (miles per hour), and his average speed during the second 3030 minutes was 6565 mph. What was his average speed, in mph, during the last 3030 minutes?
6464
6565
6666
6767
6868
Answer: D
Concepts:distance rate and time
Small hint:
Find the distance covered in each of the first two 3030-minute segments
Big hint:
The remaining distance is covered in 12\tfrac12 hour; divide to get the speed
Solution:
In the first 3030 minutes Sam covered 60⋅12=3060\cdot\tfrac12=30 miles, and in the second he covered 65⋅12=32.565\cdot\tfrac12=32.5 miles.
The last 3030 minutes covered 96−30−32.5=33.596-30-32.5=33.5 miles, so the speed was 33.512=67 mph. \dfrac{33.5}{\frac{1}{2}}=67\text{ mph}.
Thus, the correct answer is D.
LIVE by Po-Shen Loh
Programs

LIVE Classes

Self-Paced Classes

Stars

Scholarship

About Us

Who Is Po-Shen Loh?

Email Contact

Newsletter

Jobs

Become a Star

For a more Thought Full world.

© 2026 Expii, Inc.