SOLUTION: Debbie rides her bicycle to her friends' house. Debbie rides her bike 4mph when going uphill and 12mph when going downhill. If her total time riding was 1 hour, how far is it to he

Question 1163447: Debbie rides her bicycle to her friends' house. Debbie rides her bike 4mph when going uphill and 12mph when going downhill. If her total time riding was 1 hour, how far is it to her friends' house?
Found 3 solutions by ikleyn, Alan3354, greenestamps:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
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Let d be one way distance. The time travel uphill is hours. The time travel downhill is hours. Total time equation is + = 1 hour. To solve equation, multiply both sides by 12. You will get 3d + d = 12 4d = 12 d = 12/4 = 3 miles. ANSWER. One way distance is 3 miles.

Solved.

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    - Time equation: HOW TO use, HOW TO write and HOW TO solve it
at this site.

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Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Debbie rides her bicycle to her friends' house. Debbie rides her bike 4mph when going uphill and 12mph when going downhill. If her total time riding was 1 hour, how far is it to her friends' house?
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We're apparently expected to assume that the uphill and downhill speeds are related to Debbie's trip.
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You should specify that.
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

Here is a very different way to solve this kind of problem.

The distances both directions are the same; the ratio of the two speeds is 1:3.

That means the ratio of times at the two speeds is 3:1.

Since the total time is 1 hour, that means she spent 3/4 of an hour at the lower speed and 1/4 of an hour at the higher speed.

3/4 of an hour at 4mph means she traveled (3/4)*4 = 3 miles; 1/4 of an hour at 12mph means she traveled (1/4)*12 = 3 miles.

ANSWER: 3 miles to her friend's house.

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