You are doing "interval training" around a 400-meter track. To do this, you sprint for 200 meters, jog for 100 meters and then walk for 100 meters, then repeat the process.

When you sprint, you run at a rate of 100 meters per 12 seconds, which is very fast. When you jog, you move half as quickly as when you sprint. It takes you 50 seconds to walk 100 meters.

How long will it take you to complete 4 laps (a total of
1,600 meters) using this process?

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joaobezerra joaobezerra · Answer 1 · 2022-06-24T18:45:04+02:00

Using proportions, it is found that it will take you 392 seconds = 6 minutes and 32 seconds to complete 4 laps.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, considering the given rates, the time that is takes to complete one lap of 400 m is given by:

t = 2 x 12(sprint) + 24(half as fast as the sprint, 24 seconds per 100 meters) + 50 = 98 seconds.

Hence for 4 laps, the time is given by:

t = 4 x 98 seconds = 392 seconds = 6 minutes and 32 seconds to complete 4 laps.

More can be learned about proportions at https://brainly.com/question/24372153

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