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

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) (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
+ = 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 = 1 hrs on the bike
:
:
See if that checks out, find the total time from the bike and run times:
+ =
1.67 + 3.33 = 5 hrs

RELATED QUESTIONS
while training for an iron man competition. tony bikes for 48 miles and runs for 12... (answered by ikleyn)

while training for an iron man competition, tony bikes for 48 miles and runs for 12... (answered by Boreal)

Mark walked for 60 minutes and biked for 90 minutes. He bikes four times faster than he... (answered by josmiceli)

A man rode his bicycle for 12 miles and then hiked an additional 8 miles. The total time... (answered by ewatrrr)

Janice is training for a triathlon. She is working on running and cycling. She runs for... (answered by AnlytcPhil)

Stanley practices his running, swimming and biking every day. During these practices he... (answered by Boreal)

Stanley practices his running, swimming and biking every day. During these practices he... (answered by MathTherapy,Edwin McCravy,ikleyn,mccravyedwin)

Stanley practices his running, swimming and biking every day. During these practices he... (answered by ankor@dixie-net.com)

What are the varibles if a guy bikes 15 miles in 1 hour, then res for an hour. Then he... (answered by richwmiller)