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.

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) (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

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
RELATED QUESTIONS
A plane can fly 720 miles in the same time as it takes a car to go 200 miles. If the car... (answered by stanbon)

A plane can fly 900 miles in the same time as it takes a car to go 250 miles. If the car... (answered by macston,lwsshak3,MathTherapy)

A plane can fly 1260 miles in the same time as it takes a car to go 350 miles. If the car (answered by lwsshak3)

A plane can fly 1190 miles in the same time as it takes a car to go 280 miles. If the car (answered by ikleyn)

A plane can fly 320 miles in the same time as it takes a car to go 120 miles. If the car... (answered by josgarithmetic)

a plane can fly 300 miles in th same time as it takes a car to go 120 miles. if the car... (answered by richwmiller)

A plane can fly 640 miles in the same time as it takes a car to go 120 miles. If the car... (answered by richwmiller)

A plane can fly 480 miles in the same time as it takes a car to go 160 miles. If the car... (answered by rfer)

A plane can fly 480 miles in the same time as it takes a car to go 210 miles. If the car... (answered by scott8148)