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.
:
Let r = rate of the car
then
(r+340) = rate of the plane
;
Times are equal, write a time equation; Time = {{{dist/rate}}}
{{{2000/(r+340)}}} = {{{300/r}}}
Cross multiply
2000r = 300(r+340)
:
2000r = 300r + 102000
:
2000r - 300r = 102000
:
1700r = 102000
r = {{{102000/1700}}}
r = 60 mph is the car
:
:
Check solution by finding the times
300/60 = 5hr
2000(60+340) = 5hr