SOLUTION: Two airplanes depart from an airport traveling in opposite directions. The second airplane is 200 miles per hour faster than the first. After 2 hours they are 1100 miles apart. Fin

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Question 1054156: Two airplanes depart from an airport traveling in opposite directions. The second airplane is 200 miles per hour faster than the first. After 2 hours they are 1100 miles apart. Find the speeds of the airplanes?
Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
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Two airplanes depart from an airport traveling in opposite directions. The second airplane is 200 miles per hour faster
than the first. After 2 hours they are 1100 miles apart. Find the speeds of the airplanes?
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2*(x + (x+200)) = 1100.    (It is the "distance" equation D = R*T)
                           (Here "x" is the speed of the slowest plane)

Simplfy and solve for x:

2x + 2x + 400 = 1100  --->

4x = 1100-400,

4x = 700   --->  x = 700%2F4 = 175 mph.

Answer.  The speed of the slowest plane is 175 mph.
         The speed ot the other plane is 175+200 = 375 mph.

Check.  2*(175+375) = 2*550 = 1100.   Correct!