SOLUTION: Beth had planned to run an average of 6 miles per hour in a race. She had a very good race and actually ran at an average speed of 7 miles per hour, finishing 10 minutes sooner tha

Question 777658: Beth had planned to run an average of 6 miles per hour in a race. She had a very good race and actually ran at an average speed of 7 miles per hour, finishing 10 minutes sooner than she would have if she had averaged 6 miles per hour. How long was the race?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Beth had planned to run an average of 6 miles per hour in a race. She had a very good race and actually ran at an average speed of 7 miles per hour, finishing 10 minutes sooner than she would have if she had averaged 6 miles per hour. How long was the race?
time taken with speed of 6 mph - time taken with speed of 7 mph =10minutes
t=d/r
let x be the distance of the race
time = x/6 ( planned)
(x/7) = actual time

Multiply equation by 42

x=7=> distance

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