SOLUTION: A newer model jet plan can travel 200 mph faster than a an older model. The newer model can travel 1200 miles in the same time that the older model can travel 900 miles. What is

Question 601553: A newer model jet plan can travel 200 mph faster than a an older model. The newer model can travel 1200 miles in the same time that the older model can travel 900 miles. What is the rate of the older model jet plane?
Found 2 solutions by josmiceli, Rcmathtutor:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the older model
Let = time in hours older model takes to travel 900 mi
and newer model takes to travel 1200 mi
-----------------
Equation for older model:
(1)
Equation for newer model:
(2)
-----------------------
Substitute (1) into (2)
(2)
(2)
(2)
(2)
and, since
(1)
(1)
(1)
The speed of the older model is 600 mi/hr
check:
(2)
(2)
(2)
(2)
OK
Answer by Rcmathtutor(12) (Show Source): You can put this solution on YOUR website!

Let rate of older plane = x and rate of newer plane = y

Since both planes travel the given distance in the same time; their times are equal, then:

The newer plane travels 200 mph faster than the older (given):

Substitute y:

The rate of the older model jet plane is 600 mph
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