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.