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In a relay race that covers 1/2 of a mile, 7 runners each run the exact same distant. What is the distance each runner runs?

User Dubbe
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1 Answer

4 votes

Answer: 1/14 of a mile

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Step-by-step explanation:

T = total distance = 1/2 of a mile

x = distance each runner travels = unknown

n = number of runners = 7

T = x*n

1/2 = x*7

1/2 = 7x

7x = 1/2

(1/7)*7x = (1/7)*(1/2) ... multiply both sides by 1/7

x = (1/7)*(1/2)

x = (1*1)/(7*2)

x = 1/14 of a mile

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side note:

5280 feet = 1 mile

5280/14 feet = 1/14 mile ... divide both sides by 14

377.142857 feet = 1/14 mile, approximately

User Ashley Duncan
by
4.8k points