SOLUTION: In the morning, Julie drove to a job interview at 40 mph. Her average speed on the return trip in the afternoon was 30 mph. The return trip took 1/2 hour longer because of heavy tr

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Question 1095145: In the morning, Julie drove to a job interview at 40 mph. Her average speed on the return trip in the afternoon was 30 mph. The return trip took 1/2 hour longer because of heavy traffic. How far did she travel to the job interview?
Found 2 solutions by hgv , MathTherapy:
Answer by hgv (5) About Me  (Show Source):
You can put this solution on YOUR website!
Distance = Speed * Time
Let time be x
=> Trip to job interview : 40 * x
=> Return trip : 30 * (x + 0.5)
Equating both since distance traveled is the same;
=> 40 * x = 30 * (x + 0.5)
=> 40x = 30x + 15
=> x = time = 1.5 hours
Thus, distance = 40 * 1.5
=> 60 m
Or 30 * (1.5 + 0.5)
=> 30 * 2 - 60 m

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

In the morning, Julie drove to a job interview at 40 mph. Her average speed on the return trip in the afternoon was 30 mph. The return trip took 1/2 hour longer because of heavy traffic. How far did she travel to the job interview?
Let distance to interview be D
Then time taken to get to interview = D%2F40
Time taken to return = D%2F30
We then get the following TIME equation: matrix%281%2C3%2C+D%2F40%2C+%22=%22%2C+D%2F30+-+1%2F2%29
3D = 4D - 60 ----- Multiplying by LCD, 120
3D - 4D = - 60
- D = - 60
D, or distance = highlight_green%28matrix%281%2C4%2C+%28-+60%29%2F%28-+1%29%2C+%22=%22%2C+60%2C+miles%29%29
How easy was that?