Answer:
<u>Tony biked 1 hour 40 minutes and run 3 hours 20 minutes.</u>
Step-by-step explanation:
How long did Tony speed on his bike?
Let s to be Tony's running speed, then 8s is Tony's biking speed
Let's recall that Time = Distance/Speed
Bike time + Running time = 5 hrs
Replacing with the real values, we have:
60/8s + 15/s = 5
8s as Lowest Common Denominator
60 + 8 * 15 = 5 * 8s
60 + 120 = 40s
-40s = -180
s = -180-40
s = 4.5 ⇒ 8s = 36
Tony run at 4.5 mph and biked at 36 mph
Now, we can calculate the time, this way:
Bike time = Bike distance/Bike speed
Replacing with the real values, we have:
Bike time = 60/36
Bike time = 5/3 (Dividing by 12)
5/3 hours * 60 = 100 minutes or 1 hour 40 minutes
Running time = 5 hours - 1 hour 40 minutes = 3 hours 20 minutes
<u>Tony biked 1 hour 40 minutes and run 3 hours 20 minutes.</u>