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Kirino and Ria start a 10 mile race at the same time. If Kirino ran the race at 5 miles per hour and...

Kirino and Ria start a 10 mile race at the same time. If Kirino ran the race at 5 miles per hour and finishes the race 45 minutes after Ria, how fast does Ria run?
Answer: ___ miles per hour

Answer

Let Ria's speed be r miles per hour.

Time taken by Kirino to finish the race = 10 / 5 = 2 hours.

Ria finishes 45 minutes (or 0.75 hours) earlier, so her time = 2 - 0.75 = 1.25 hours.

Using the formula distance = speed × time, we have:

10 = r × 1.25

Solving for r gives:

r = 10 / 1.25 = 8 miles per hour.

Therefore, Ria runs at 8 miles per hour.

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