SOLUTION: While training for an iron man competition,tony bikes for 60 miles and runs for 15 miles. If his biking speed is 8 times his running speed and it takes 5 hours to complete the trai

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Question 873541: While training for an iron man competition,tony bikes for 60 miles and runs for 15 miles. If his biking speed is 8 times his running speed and it takes 5 hours to complete the training how long did he spend on his bike
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
While training for an iron man competition,tony bikes for 60 miles and runs for 15 miles.
If his biking speed is 8 times his running speed and it takes 5 hours to complete the training.
:
Let s = his running speed
then
8s = his biking speed
:
Write a time equation: time = dist/speed
;
bike time + run time = 5 hrs
60%2F%288s%29 + 15%2Fs = 5
Multiply thru by 8s, cancel the denominators
60 + 8(15) = 5(8s)
180 = 40s
s = 180/40
s = 4.5 mph is his running speed
then
8*4.5 = 36 mph is his biking speed
"how long did he spend on his bike?"
60/36 = 12%2F3 hrs on the bike
:
:
See if that checks out, find the total time from the bike and run times:
60%2F36 + 15%2F4.5 =
1.67 + 3.33 = 5 hrs