2006 AMC 8 Problem 16
Attempt Problem 16 of the 2006 AMC 8 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 2006 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
16.
Before Chandra and Bob start reading, Alice says she would like to team read with them. If they divide the book into three sections so that each reads for the same length of time, how many seconds will each have to read?
Answer: E
Small hint:
Compare how many pages each person reads in the same amount of time.
Big hint:
A common time such as seconds makes all three page counts whole numbers.
Solution:
If all individuals read the same amount of time, then the number of pages Bob, Chandra, and Alice will read will be in the ratio respectively.
This means that they will read and pages respectively. Since they all read for the same amount of time, we can just calculate how long it takes for Bob to read his portion.
Bob will take seconds to read his portion.
Thus, E is the correct answer.
Problem 16 in other years
- 1985 AMC 8
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