<PRE><B>Question 344724</B>
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 = {{{34/17}}}
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</PRE>