- #1
ADMO
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Homework Statement
Marlene rides her bicycle to her friend Jon's house and returns home by the same route. Marlene rides her bike at constant speeds of 6 mph on level ground, 4 mph when going uphill, and 12 mph when going downhill. If her total time riding was 1 hour, how far is it to Jon’s house?
Answer = 3 miles
Homework Equations
d=rt
t=d/r
The Attempt at a Solution
t1+t2+t3=1hour
L/6mph+U/4mph+D/12mph=1hour
I have tried solving for each variable independently and then substituting it, but when I do that all my terms cancel out and I am either left with 1=1 or 12=12 depending of which equation I start with.
I understand that Marlene traveled different distances at different rates, and for different intervals of time. I know that the total distance traveled in 1 hour must be 6 miles but I can't seem to express it mathematically. [/B]