Problema Solution
A plane flies round-trip to Philadelphia. If flies to Philadelphia at 220 miles per hour and back home with a tailwind at 280 miles per hour. If the total trip takes 6.5 hours, how many miles does the plane fly round-trip?
Answer provided by our tutors
distance = speed * time
Let 'd' represent distance and let 't' represent time to Philadelphia and '6.5-t' represents the time to return.
The trip to Philadeplphia:
d = 220 * t
The return trip back:
d = 280 * (6.5-t)
Set the distance equations equal since both trips cover the same distance:
220t = 280(6.5-t)
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t=3.64
So the trip to Philadelphia took 3.64 hours and the distance was:
d = 220*3.64
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d=800.8
So the distance is approximately 801 miles, hence the round-trip is approximately 1600 miles.