Sophia and Mia are jogging on a circular track that measures a quarter of a mile. If Sophia finishes each lap in 80 seconds while Mia takes 100 seconds for each lap, how many laps will Mia have completed before Sophia overtakes her, given that they start simultaneously?

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Sophia and Mia are jogging on a circular track that measures a quarter of a mile. Sophia completes each lap in 80 seconds, while Mia takes 100 seconds per lap. To find out how many laps Mia has run before Sophia overtakes her, we first determine the time it takes for Sophia to gain a lap on Mia. The time difference per lap is 100 seconds (Mia) - 80 seconds (Sophia) = 20 seconds. In that time, Sophia completes 1 lap (80 seconds). Therefore, in 80 seconds, Mia…

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Comments

LukasJan 30, 2025

Greatt

HYERINJan 22, 2025

This is exactly what I needed to practice

GuilhermeMar 10, 2025

Great!

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.