SOLUTION: Marlene rides her bicycle to her friend jhon's house and returns homeboy the same route. Marlene rides her bike at a constant speed of 6 mph on level ground, 4mph when going uphill

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Question 998134: Marlene rides her bicycle to her friend jhon's house and returns homeboy the same route. Marlene rides her bike at a constant speed of 6 mph on level ground, 4mph when going uphill, and 12 mph when going downhill. If her total time riding was 1 hour, how far is it to jhon's house???
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Marlene rides her bicycle to her friend jhon's house and returns home by the same route.
Marlene rides her bike at a constant speed of 6 mph on level ground, 4mph when going uphill, and 12 mph when going downhill.
If her total time riding was 1 hour, how far is it to jhon's house???
:
Let f = dist rode on level ground (one-way)
let h = dist rode on the hill (up or down)
:
Write a time equation for the round trip. (Time = dist/speed
f%2F6 + h%2F4 + h%2F12 + f%2F6 = 1
Get rid of the denominators, multiply by 12
2f + 3h + h + 2f = 12
4f + 4h = 12
simplify, divide by 4
f + h = 3 mi to her friends house
:
Sorry, this took awhile for me to figure out. CK