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Svetach [21]
3 years ago
10

Marlene rides her bicycle to her friend​ jon's house and returns home by the same route. marlene rides her bike at constant spee

ds of 9 mph on level​ ground, 6 mph when going uphill and 18 mph when going downhill. if her total time riding was 1 ​hours, how far is it to​ jon's house?
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
6 0

To solve the problem:

<span>Let f = distance one way distance on level ground</span>

<span>
Let h = distance rode on the hill</span>

<span>
Write a time equation; where Time = distance/speed:</span>

<span>

level time + uphill time + downhill time + level time = 1hr</span>

<span>
</span>

<span>f/9 + h/6 + h/18 + f/9 = 1 hr</span>

<span>

Multiply equation by 18 to get rid of the denominators</span>

<span>
</span>

 

2f + 3h + h + 2f = 18


4f + 4h = 18


Simplify by dividing this by 4


<span>f + h = 4.5 miles is took her to get to Jon’s house.</span>

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