SOLUTION: Esther drove to work in the morning at an average speed of 45mph. She returned home in the evening along the same and averaged 30mph. If Esther spent a total of one hour commutin

Question 198831This question is from textbook
: Esther drove to work in the morning at an average speed of 45mph. She returned home in the evening along the same and averaged 30mph. If Esther spent a total of one hour commuting to and from work, how many miles did Esther drive to work in the morning? This question is from textbook

Found 2 solutions by arallie, jojo14344:
Answer by arallie(162) (Show Source): You can put this solution on YOUR website!
Here we go
If and where x=time to work and y=time to house
Then
Solve for y

If when
Then
If where d=distance and 60=minutes in an hour.
Then
Solve for d

18mi
Anymore questions feel free to ask me.
Anthony Allie
arallie@gmail.com
http://arallie.webs.com/tutoring.htm
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

Going Work in the morning:
&

Going home:
&

Distance Formula : D = Speed x time

Since Distance is the same, we can equate the two:

----> ---> ---> }
x =

So the Distance, ,( Answer )

To check, the Distance going home should be the same.

, oks!

Total time spent driving:
time(Work) + time(Home) = 1 hour

Thank you,
Jojo
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