SOLUTION: A plane can fly 510 miles in the same time as it takes a car to go 120 miles. If the car travels 130 mph slower than the plane, find the speed of the plane.

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Question 1032065: A plane can fly 510 miles in the same time as it takes a car to go 120 miles. If the car travels 130 mph slower than the plane, find the speed of the plane.

Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
Set c = speed of car in mph
p = speed of plane in mph
t = time of travel
c = p - 130
c*t = 120
p*t = 510
substitute ( p - 130 ) for c in c*t
( p - 130 )t = 120
Solve for t by dividing by ( p - 130 )
t = 120/( p - 130 )
Solve for t in p*t = 510 by dividing by p
t = 510/p
120%2F%28+p+-+130+%29+=+510%2Fp
Do cross products
120p = 510(p - 130)
120p = 510p - 510*130
divide each side by 10
12p = 51p - 510*13
-39p = -6630
divide each side by -39
p = 170