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28 votes
28 votes
Mekenzie skateboards at a rate of 3 ½ miles every 1/3 hour. Josh skateboards at a rate of 2 2/3 miles every 4 hour. Who Travels at a faster rate?

User Yushatak
by
2.9k points

1 Answer

19 votes
19 votes

Answer:

Mekenzie travels at a faster rate.

Explanation:

Given that Mekenzie skateboards at a rate of 3 ½ miles every ⅓ hour, and Josh skateboards at a rate of 2 ⅔ every 4 hours:

It is important to have the same unit of measure in these types of word problems. We must convert Josh's travel rate to match Mekenzie's travel rate.

Mekenzie:

"Every ⅓ hour" means 20 minutes because 1 hour = 60 minutes. Hence, ⅓ of 60 minutes = 20 minutes.

3 ½ miles every ⅓ hour = 3.5 miles for every 20 minutes.

Josh:

2 ⅔ every 4 hours:

2 ⅔ or 2.666667 = 8/3 miles

8/3 miles every 4 hours = 8/3 ÷ 4 hours = 0.1667 miles for every 1 hour

0.1667 miles for every 1 hour = 0.1667 ÷ ⅓ hour = 0.556 miles every ⅓ hour.

0.556 miles every ⅓ hour = 0.556 miles for every 20 minutes.

Therefore, Mekenzie travels faster than Josh.

User Escrafford
by
3.2k points
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