SOLUTION: Three people run a mile. The first person runs the mile in seven minutes. The second person takes 5/4 as long as the first person. How many minutes did it take the third person to
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Question 243397: Three people run a mile. The first person runs the mile in seven minutes. The second person takes 5/4 as long as the first person. How many minutes did it take the third person to run the mile if the average for all three people is eight minutes?
A. 8 B. 8.25 C. 8.5 D. 9 E. 11.4
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Three people run a mile. The first person runs the mile in seven minutes.
The second person takes 5/4 as long as the first person.
How many minutes did it take the third person to run the mile if the average for all three people is eight minutes?
:
Let t = time of the 3rd person
:
Change 5/4 to 1.25
:
= 8
:
= 8
:
= 8
:
Multiply both sides by 3
15.75 + t = 24
:
t = 24 - 15.75
:
t = 8.25 min is the 3rd person's time
:
:
Check solution
= 8
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