Question 678791: If I traveled 60 mph and was an hour early, and traveled 30 mph and was an hour late how far was the airport?
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Let t = time it takes to travel a distance of d miles (and be on time)
So to be an hour early, it would mean that you travel 1 hour less than normal, which means that you spend t-1 hours on the road.
To be an hour late, you add 1 to t to get t+1 hours.
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Being 1 hr early
d = rt
d = 60t
d = 60(t-1)
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Being 1 hr late
d = rt
d = 30t
d = 30(t+1)
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Equate the two and solve for t
60(t-1) = 30(t+1)
60t-60 = 30t+30
60t-30t = 30+60
30t = 90
t = 90/30
t = 3
So if you arrive on time, then you will spend 3 hours on the road. Being early means you only spend 2 hours on the road and being late means you spend 4 hours on the road.
Use this to find d
d = 60(t-1)
d = 60(3-1)
d = 120
Therefore, the distance is 120 miles.
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