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Mathematics 60 Online
inkandfable:

Yuto and Riko went for a bike ride on the same path. When Riko left their house, Yuto was 5.25 miles along the path. If Yuto’s average speed was 0.25 miles per minute and Riko’s average speed was 0.35 miles per minute, then Riko will be behind Yuto when 0 ≤ t < 52.5, where t is time in minutes. Explain what this solution means and why t cannot be less than zero.

inkandfable:

The solution means that Riko will be behind Yuto from the time she leaves the house, which corresponds to t = 0, until the time she catches up to Yuko after 52.5 minutes, which corresponds to t = 52.5. The reason that t cannot be less than zero is because it represents time, and time cannot be negative.

mhanifa:

You have the question and the answer. This is correct if you want a verification of the answer.

SmokeyBrown:

You could also take into account the distance that Yuto started ahead of Riko, 5.25 miles, as well as their difference in speed, 0.25 and 0.35 miles per minute, respectively. This means that each minute, Riko is getting (0.35 - 0.25) or 0.1 miles closer to Yuto, which means it will take (5.25 / 0.1) or 52.5 minutes for her to catch up, which is what the solution shows. I think what you have should be sufficient, but there's some extra info if you'd like to use it.

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