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?

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!
.
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?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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 =  = 5 hours.

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

Answer. 1300 miles.


RELATED QUESTIONS

If two planes flew between two cities at speeds of 200 mph and 260 mph respectively. If... (answered by ikleyn)
It took a plane 2 hours to fly form Dallas to New York with the headwind and 1.5 hours to (answered by ikleyn)
It takes a plane two hours to fly from Detroit to New York and only an hour and thirty... (answered by Alan3354)
two small planes start from the same point and fly in opposite directions the first... (answered by stanbon)
The Opposite Flying Plane Problem: Two planes flying opposite directions (North and... (answered by math_tutor2020,MathTherapy)
Two planes leave New Orleans at the same time. Plane A heads north and Plane B heads... (answered by Collinwilfixyouuprealnice)
two planes start from the same point and fly in opposite directions. the first plane is... (answered by mananth)
A ship travels from New York to Southampton,England at 33 mph. A plane traveling 605 mph... (answered by checkley71)
A ship travels from New York to Southampton,England at 33 mph. A plane traveling 605 mph... (answered by ptaylor)