SOLUTION: An airplane traveled 2,000 miles in the same time that a car traveled 300 miles. If the rate of the plane is 340 miles per hour greater than the rate of the car, find the rate of

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: An airplane traveled 2,000 miles in the same time that a car traveled 300 miles. If the rate of the plane is 340 miles per hour greater than the rate of the car, find the rate of       Log On


   

Question 185540: An airplane traveled 2,000 miles in the same time that a car traveled 300 miles. If the rate of the plane is 340 miles per hour greater than the rate of the car, find the rate of the car.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
An airplane traveled 2,000 miles in the same time that a car traveled 300 miles.
If the rate of the plane is 340 miles per hour greater than the rate of the car,
find the rate of the car.
:
Let r = rate of the car
then
(r+340) = rate of the plane
;
Times are equal, write a time equation; Time = dist%2Frate
2000%2F%28r%2B340%29 = 300%2Fr
Cross multiply
2000r = 300(r+340)
:
2000r = 300r + 102000
:
2000r - 300r = 102000
:
1700r = 102000
r = 102000%2F1700
r = 60 mph is the car
:
:
Check solution by finding the times
300/60 = 5hr
2000(60+340) = 5hr