Item 7 you and a friend are running on treadmills. you run 0.5 mile every 3 minutes, and your friend runs 2 miles every 14 minut

Question

2 years ago

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Item 7 you and a friend are running on treadmills. you run 0.5 mile every 3 minutes, and your friend runs 2 miles every 14 minut

es. you both start and stop running at the same time and run a whole number of miles. what is the least possible number of miles you and your friend can run?

Mathematics

2 answers:

sweet [91] · Answer 1 · 2022-08-26T17:24:47+03:00

<span>You run 0.5 miles every 3 minutes => 1 mile every 6 minutes. Your friend runs 2 miles every 14 minutes => 1 mile every 7 minutes. You run a whole number of miles every number of minutes that is a multiple of 6. Your freind runs a whole number of miles every number of minutes that is a multiple of 7 Then the least possible number of miles that you both run to end at the same time is the least common factor of 7 and 6 minutes. This is 7 * 6 = 42 minutes. You will have run 42 min / (6 miles/min) = 7 miles, and your friend will have run 42 min / (7 miles/min) = 6 miles</span>

34kurt · Answer 2 · 2022-08-26T18:47:08+03:00

You run 0.5 miles every 3 minutes => 1 mile every 6 minutes. Your friend runs 2 miles every 14 minutes => 1 mile every 7 minutes. You run a whole number of miles every number of minutes that is a multiple of 6. Your freind runs a whole number of miles every number of minutes that is a multiple of 7 Then the least possible number of miles that you both run to end at the same time is the least common factor of 7 and 6 minutes. This is 7 * 6 = 42 minutes. You will have run 42 min / (6 miles/min) = 7 miles, and your friend will have run 42 min / (7 miles/min) = 6 miles