SOLUTION: A plane can fly 600 miles in the same time as it takes a car to go 160 miles. If the car travels 110 mph slower than the plane, find the speed of the plane and the speed of the car

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A plane can fly 600 miles in the same time as it takes a car to go 160 miles. If the car travels 110 mph slower than the plane, find the speed of the plane and the speed of the car      Log On


   



Question 760986: A plane can fly 600 miles in the same time as it takes a car to go 160 miles. If the car travels 110 mph slower than the plane, find the speed of the plane and the speed of the car.
The plane travels mph.
Round your answer to 3 decimal places as needed.
The car travels mph.
Round your answer to 3 decimal places as needed.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A plane can fly 600 miles in the same time as it takes a car to go 160 miles. If the car travels 110 mph slower than the plane, find the speed of the plane and the speed of the car.
Plane DATA:
distance = 600 miles ; rate = x mph ; time = 600/x hrs
Car DATA:
distance = 160 miles ; rate = x-110 mph ; time = 150/(x-110) hrs
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Equation:
time = time
600/x = 150/(x-110)
600x - 600*110 = 150x
450x = 600*110
x = 146 2/3 mph (plane rate)
x - 110 = 36 2/3 mph (car rate)
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Cheers,
Stan H.
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