SOLUTION: A plane can fly 300 miles in the same time as it takes a car to go 180 miles. If the car travels 90 mph slower than the plane, find the speed of the plane.

Question 1114941: A plane can fly 300 miles in the same time as it takes a car to go 180 miles. If the car travels 90 mph slower than the plane, find the speed of the plane.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = time in hrs for both the
plane and the car
Let = the speed of the plane in mi/hr
= the speed in mi/hr of the car
------------------------------------------
Equation for the plane:
(1)
Equation for the car:
(2)
--------------------------
(1)
Plug (1) into (2)
(2)
(2)
(2)
(2)
and
(1)
(1)
(1)
(1)
The speed of the plane is 225 mi/hr
--------------------------------------
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK

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