2023 AMC 8 Problem 15
Attempt Problem 15 of the 2023 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 2023 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
15.
Viswam walks half a mile to get to school each day. His route consists of city blocks of equal length and he takes one minute to walk each block. Today, after walking blocks, Viswam discovers that he has to make a detour, walking blocks of equal length instead of block to reach the next corner. From the time he starts his detour, at what speed, in miles per hour, must Viswam walk in order to arrive at school at his usual time?
Answer: B
Small hint:
One block is mile
Big hint:
From the detour point, he must walk blocks in the usual minutes
Video solution:
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Written solution:
If half a mile is the same as blocks, then one block is miles.
Starting from the detour, Viswam has to walk miles.
Normally, from this spot Viswam would take minutes to walk to school. Now he has to travel miles in minutes.
Note that minutes is hours. This means his speed must be miles per hour.
Thus, B is the correct answer.
Problem 15 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
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