SOLUTION: Jill, Leon and Emily participated in a bike race. Jill biked the first half at 6 miles per hour and the second half at 12 miles per hour. Leon biked the first third at 12 miles p

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Jill, Leon and Emily participated in a bike race. Jill biked the first half at 6 miles per hour and the second half at 12 miles per hour. Leon biked the first third at 12 miles p      Log On


   

Question 257714: Jill, Leon and Emily participated in a bike race. Jill biked the first half at 6 miles per hour and the second half at 12 miles per hour. Leon biked the first third at 12 miles per hour, then dropped down to 8 miles per hour for the 2nd third and finished the last third at 7 miles per hour. Emily paced out the entire race at 8.5 miles per hour. Who finished first? And explain how you solved the problem.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Jill, Leon and Emily participated in a bike race.
Jill biked the first half at 6 miles per hour and the second half at 12 miles per hour.
Leon biked the first third at 12 miles per hour, then dropped down to 8 miles per hour for the 2nd third and finished the last third at 7 miles per hour.
Emily paced out the entire race at 8.5 miles per hour.
Who finished first? And explain how you solved the problem.
:
Choose a convenient distance for the race, 24 mi has lots of factors
:
Write a time equation for each Time = dist/speed, who took the least time?
J
12%2F6 + 12%2F12 = 3 hrs
:
L
8%2F12 + 8%2F8 + 8%2F7 = 2.81 hrs
:
E
24%2F8.5 = 2.82 hrs
:
Looks like Leon won by whisker