Question 583399
It takes three hours to drive to a city.
 If you had driven 10 mph slower it would have taken 36 minutes longer.
 How far did you drive? 
:
Change 36 min to hrs: 36/60 = .6 hr
:
First find the speed; then we can find the distance
:
s = the actual speed
then
(s-10) = the slower speed
:
Write a distance equation, dist = speed * time
:
slow speed dist = actual speed distance
3.6(s-10) = 3s
3.6s - 36 = 3s
3.6s - 3s = 36
.6s = 36
s = 36/.6
s = 60 mph is the speed
:
Now find the distance:
3 * 60 = 180 mi
:
Check the distance using the slower speed, it should be the same
3.6 * 50 = 180 mi