At 11:00 a.m., Sarah starts riding her bicycle from Greenfield at a steady speed of 12 mph. If, at 3:00 p.m., Mike begins his ride from Greenfield on the same path at a constant speed of 18 mph, when will he catch up to Sarah?

Answer Choices

Correct answer marked below

7:00 p.m.

7:30 p.m.

9:00 p.m.

9:30 p.m.

11:00 p.m.

Correct

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Explanation

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Official Explanation

Official

When Mike starts at 3:00 p.m., Sarah has already been riding for 4 hours at 12 mph, which means she is 48 miles ahead. Mike travels 6 miles each hour…

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Comments

ColinJan 16, 2024

appreciated!

ShankarAug 16, 2024

Thank for sharing!

What this question tests

What it tests

Your application of distance = rate × time to trains, boats, and commuters, including relative speed.

Common trap

Mixing units (miles per hour vs. minutes) or averaging speeds — average speed is total distance over total time.