SOLUTION: 2 planes fly at 200 mph and 260 mph between two cities. The first plane takes 1.5 hours longer. How far apart are the cities?

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Question 1054207: 2 planes fly at 200 mph and 260 mph between two cities. The first plane takes 1.5 hours longer. How far apart are the cities?
Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
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2 planes fly at 200 mph and 260 mph between two cities. The first plane takes 1.5 hours longer. How far apart are the cities?
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Your "distance" equation is

200*(t+1.5) = 260*t,  where t is the flight time for faster plane.

Solve:

200t + 300 = 260t  --->  60t = 300  --->  t = 300%2F60 = 5 hours.

The distance is D = 260*5 = 1300 miles.

Answer. 1300 miles.