2015 AMC 8 Problem 3

Below is the video solution and professionally curated solution for Problem 3 of the 2015 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2015 AMC 8 solutions, or check the answer key.

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Concepts:distance rate and time

Difficulty rating: 660

3.

Jack and Jill are going swimming at a pool that is one mile from their house. They leave home simultaneously. Jill rides her bicycle to the pool at a constant speed of 1010 miles per hour. Jack walks to the pool at a constant speed of 44 miles per hour. How many minutes before Jack does Jill arrive?

5 5

6 6

8 8

9 9

10 10

Video solution:
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Written solution:

Jack travels at a rate of 44 miles per 6060 minutes. Therefore, it takes him 604=15\dfrac{60}{4} = 15 minutes to get to the pool.

Jill travels at a rate of 1010 miles per 6060 minutes. Therefore it takes her 6010=6\dfrac{60}{10} = 6 minutes to get to the pool.

Therefore, the difference in their times is 156=915-6 = 9 minutes.

Thus, the correct answer is D .

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