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

Question

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.

Revolt · Accepted Answer

The solution 0 ≤ t < 52.5 means that Riko will be behind Yuto from the moment she leaves the house (t = 0) until she catches up to him at 52.5 minutes. Time cannot be less than zero because t represents the duration of the ride starting from the moment Riko leaves, and time cannot be negative.

Solving One-Variable Inequalities

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