SOLUTION: You enter a 64 mile biathalon, you run 10 mph, you bike 27 mph. You finish in 3 hours. What is the distance of the run? What is the distance of the bike race?

Question 344724: You enter a 64 mile biathalon, you run 10 mph, you bike 27 mph. You finish in 3 hours. What is the distance of the run? What is the distance of the bike race?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
You enter a 64 mile biathalon, you run 10 mph, you bike 27 mph.
You finish in 3 hours.
What is the distance of the run?
What is the distance of the bike race?
:
Find the run time and bike time first
:
Let t = time biking
then
(3-t) = time running
:
Write a distance equation; dist = speed * time
:
Bike dist + Run dist = 64 mi
27t + 10(3-t) = 64
27t + 30t - 10t = 64
27t - 10t = 64 - 30
17t = 34
t =
t = 2 hrs on the bike
then. obviously,
1 hr running
:
find the distances
2(27) = 54 mi on the bike
1(10) = 10 mi running
-------------------
totals 64 mi
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