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?
:
let t = time required to get there on time
let d = distance to the airport
:
Write a time equation for each scenario
{{{d/60}}} = t - 1
multiply by 60 to get rid of the denominator
d = 60t - 60
and
{{{d/30}}} = 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