SOLUTION: Jane and Peter leave their home traveling in opposite directions on a straight road. Peter drives 15 mi/h faster than Jame. After 3 hours, they are 225 miles apart. Find Peter's ra

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Question 198205: Jane and Peter leave their home traveling in opposite directions on a straight road. Peter drives 15 mi/h faster than Jame. After 3 hours, they are 225 miles apart. Find Peter's rate and Jane's rate.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Based on Distance formula: D = Speed x time

Let x = Jane's Speed
Also, x + 15 = Peter's Speed --> 15%28mi%2Fhr%29faster

When we ADD the "Speed" in "3" hours for both, they cover a distance of 225 miles:
Based on the formula,
Distance=S%5BJ%5Dt%2BS%5BP%5Dt
225=x%283%29%2B%28x%2B15%29%283%29
225=3x%2B3x%2B45
225-45=6x ----> 180=6x ----> cross%28180%2930%2Fcross%286%29=cross%286%29x%2Fcross%286%29
red%28x=30%28mi%2Fhr%29%29 ----> Jane's Speed
And,
x%2B15=30%2B15=red%2845%28mi%2Fhr%29%29 ----> Peter's Speed


We check,
Calculate the Distance travelled for each after 3 hrs:

Jane:
D%5BJ%5D=S%5BJ%5D%2At=%2830%29%283%29=90miles
Peter:
D%5BP%5D=S%5BP%5D%2At=%2845%29%283%29=135miles

Then, total distance,
225miles=D%5BJ%5D%2BD%5BP%5D
225miles=90miles%2B135miles
225miles=225miles


Thank you,
Jojo