SOLUTION: A person has to pick someone up from the airport. If they leave home and drive 60mph they get there an hour early. If they drive 30mph they get there a hour late. How far does the
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Question 887840: A person has to pick someone up from the airport. If they leave home and drive 60mph they get there an hour early. If they drive 30mph they get there a hour late. How far does the person live from the airport? How do I solve this problem? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A person has to pick someone up from the airport.
If they leave home and drive 60mph they get there an hour early.
If they drive 30mph they get there a hour late.
How far does the person live from the airport?
How do I solve this problem?
:
let t = time required to get there on time
let d = distance to the airport
:
Write a time equation for each scenario = t - 1
multiply by 60 to get rid of the denominator
d = 60t - 60
and = t + 1
d = 30t + 30
Multiply by 2 and subtract the 1st equation
2d = 60t + 60
d = 60t - 60
-----------------Subtraction eliminates 60t, find d
d = 120 miles to the airport
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Confirm this
120/60 = 2 hrs, 1 hr early
120/30 = 4 hrs, 1 hr late
