SOLUTION: mia drove her car at the rate of 60 mph from her home to los angeles. her mother made the same trip at the rate of 80 mph, and took her 1/2 hours less than it took mia to make the

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Question 903506: mia drove her car at the rate of 60 mph from her home to los angeles. her mother made the same trip at the rate of 80 mph, and took her 1/2 hours less than it took mia to make the trip. how far is mia's home from los angeles ?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
________________speed________time__________distance
MIA______________60__________t_____________60t=d
MOTHER___________80__________t-1/2_________80(t-1/2)=d

d is the distance for both trips.
60t=80%28t-1%2F2%29
3t=4%28t-1%2F2%29
3t=4t-2
highlight%28t=2%29

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

mia drove her car at the rate of 60 mph from her home to los angeles. her mother made the same trip at the rate of 80 mph, and took her 1/2 hours less than it took mia to make the trip. how far is mia's home from los angeles ?

D%2F60+=+D%2F80+%2B+1%2F2
4D = 3D + 120 ------- Multiplying by LCD, 240
4D - 3D = 120
D, or distance = highlight_green%28120%29 miles