Question 750279
A truck can travel 140 miles in the same time it takes a car to travel 180 miles.
 If the trucks rate is 10 miles per hour slower than the cars, find the average rate for each.
:
let s = the speed of the truck
then
(s+10) = speed of the car
:
Write a time equation: time = dist/speed
{{{140/s}}} + {{{180/((s+10))}}}
Cross multiply
180s = 140(s+10)
180s = 140s + 1400
180s - 140s = 1400
40s = 1400
s = 1400/40
s = 35 mph is the speed of the truck
:
I'll let you find the speed of the car. Check your solutions by finding the
actual time of each, they should be equal