SOLUTION: A plane can fly 1020 miles in the same time as it takes a car to go 360 miles. If the car travels 110 mph slower than the plane, find the speed of the plane
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-> SOLUTION: A plane can fly 1020 miles in the same time as it takes a car to go 360 miles. If the car travels 110 mph slower than the plane, find the speed of the plane
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Question 885098: A plane can fly 1020 miles in the same time as it takes a car to go 360 miles. If the car travels 110 mph slower than the plane, find the speed of the plane Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! A plane can fly 1020 miles in the same time as it takes a car to go 360 miles. If the car travels 110 mph slower than the plane, find the speed of the plane
.
Let x = speed of plane
then x-110 = speed of car
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1020 = xt (applying d=rt for plane -- equation 1)
360 = (x-110)t (applying d=rt for car -- equation 2)
solve equation 1 for t
t = 1020/x
substitute into equation 2 to solve for x:
360 = (x-110)t
360 = (x-110)(1020/x)
360x = (x-110)1020
360x = 1020x-112200
360x = 1020x-112200
-660x = -112200
x = 170 mph (speed of plane)
