SOLUTION: Nancy can ride her bike uphill at eight kilometers per hour, and downhill at twelve kilometers per hour.She biked up the hill a certain distance and then biked back down the hill t

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Question 412621: Nancy can ride her bike uphill at eight kilometers per hour, and downhill at twelve kilometers per hour.She biked up the hill a certain distance and then biked back down the hill to her starting point.The entire trip took one hour.How far did she bike up the hill?
Answer by josmiceli(9645) (Show Source):
You can put this solution on YOUR website!
she made 2 trips, one at 8 km/hr, the other at 12 km/hr
The total time was 1 hour
I'll say = time for uphill trip, = time for
downhill trip.
1st trip:

2nd trip:

This is 2 equations and 2 unknowns, so it's solvable
Set the 's equal to eachother (both trips are same distance)

hr
Now solve for

km
km
She biked 4.8 km up the hill
check answer:

OK