SOLUTION: Zahri has to pick up her mom from the airport. If she traveled 60mph she would be an hour early. If she traveled 30mph, she would be an hour late. How far was the airport?

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Question 980052: Zahri has to pick up her mom from the airport. If she traveled 60mph she would be an hour early. If she traveled 30mph, she would be an hour late. How far was the airport?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
________________rate___________time_____________distance
FAST____________60_____________t-1______________d
SLOW____________30_____________t+1______________d

system%2860%28t-1%29=d%2C30%28t%2B1%29=d%29

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

Zahri has to pick up her mom from the airport. If she traveled 60mph she would be an hour early. If she traveled 30mph, she would be an hour late. How far was the airport?
Let distance to airport be D
Getting to airport 1 hour early results in an "on-time" time of: D%2F60+%2B+1
Getting to airport 1 hour late results in an "on-time" time of: D%2F30+-+1
We then get: D%2F60+%2B+1+=+D%2F30+-+1
D + 60 = 2D - 60 --------- Multiplying by LCD, 60
D - 2D = - 60 - 60
- D = - 120
D, or distance to airport = %28-+120%29%2F%28-+1%29, or highlight_green%28120%29 miles