SOLUTION: Josie is biking across her state. It takes 23 hours to complete the 213 mile ride. For the first leg, she is pedaling downhill and is averaging a speed of 12 miles an hour. Upon re

Question 946903: Josie is biking across her state. It takes 23 hours to complete the 213 mile ride. For the first leg, she is pedaling downhill and is averaging a speed of 12 miles an hour. Upon reaching the second leg her speed is cut down to 3 miles an hour. How long did she spend biking downhill?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
First part was downhill, and second part was uphill.
R=12
r=3
T=23 hours, total trip time
D=213 miles, total trip distance

This could be set up in one unknown variable, but it is done here using two unknown variables:
u, the time downhill
v, the time uphill

________________speed___________time____________distance
FIRST___________R________________u______________Ru
SECND___________r________________v______________rv
Total____________________________T_______________D

Fundamentally, .
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