SOLUTION: Lea drives from her apartment to her parents house on saturday at a rate of 60mph. On her way back, traffic was heavy and she could only drive 45mph. It took her 1.5 hours longer o

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Lea drives from her apartment to her parents house on saturday at a rate of 60mph. On her way back, traffic was heavy and she could only drive 45mph. It took her 1.5 hours longer o      Log On

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Question 419607: Lea drives from her apartment to her parents house on saturday at a rate of 60mph. On her way back, traffic was heavy and she could only drive 45mph. It took her 1.5 hours longer on the drive back sunday. What was the distance between her apartment and her parents house?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Write 2 equations: 1 for each trip
Let d = distance to her parents house
Let t = time to get from apartment to parents house
-----------------------
apartment to parents house:
(1) d+=+60t
---------
parents house to apartment:
(2) d+=+45%2A%28t+%2B+3%2F2%29
-----------
(2) d+=+45t+%2B+135%2F2%29
(2) 2d+=+90t+%2B+135
Substitute (1) into (2)
(2) 2%2A60t+=+90t+%2B+135
(2) 120t+-+90t+=+135
(2) 30t+=+135
t+=+45
d+=+60t
Have to go- you finish