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
Algebra.Com
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
.
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)
RELATED QUESTIONS
A plane can fly 2250 miles in the same time as it takes a car to go 360 miles. If the car (answered by richwmiller)
A plane can fly 360 miles in the same time as it takes a car to go 210 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)
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 700 miles in the same time as it takes a car to go 300 miles. If the car... (answered by josmiceli)
A plane can fly 520 miles in the same time as it takes a car to go 160 miles. If the car... (answered by Cromlix)
A plane can fly 1875 miles in the same time as it takes a car to go 325 miles. If the car (answered by richwmiller)
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)