SOLUTION: An airplane travels 2050 miles in the same time that a car travels 260 miles. If the rate of the plane is 358 miles per hour faster than the rate of the car, find the rate of each?

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Question 250621: An airplane travels 2050 miles in the same time that a car travels 260 miles. If the rate of the plane is 358 miles per hour faster than the rate of the car, find the rate of each?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
+Ra%2ATa=2050
Rc%2ATc=260
Ta=Tc
Ra=358%2BRc
.
.
1.%28358%2BRc%29%2ATa=2050
2.Rc%2ATa=260
From 1,
358%2ATa%2BRc%2ATa=2050
Substitute using 2,
358%2ATa%2B260=2050
358%2ATa=1790
Ta=5
Then go back to find Ra and Rc
Rc%2ATa=260
Rc=52
Ra=358%2BRc
Ra=358%2B52
Ra=410
The airplane travels at 410 mph and the car at 52 mph.