SOLUTION: 17 Mickey and Minnie both drive the same distance. By driving 25 mph faster, Mickey gets there in 3 hours, while it takes Minnie 5 hours. How fast does each drive?

Algebra ->  Test -> SOLUTION: 17 Mickey and Minnie both drive the same distance. By driving 25 mph faster, Mickey gets there in 3 hours, while it takes Minnie 5 hours. How fast does each drive?       Log On


   

Question 259912: 17 Mickey and Minnie both drive the same distance. By driving 25 mph faster, Mickey gets there in 3 hours, while it takes Minnie 5 hours. How fast does each drive?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Mickey and Minnie both drive the same distance.
By driving 25 mph faster, Mickey gets there in 3 hours, while it takes Minnie 5 hours. How fast does each drive?
:
Let s = Minnie's speed
then
(s+25) = Mickey's speed
:
They are driving the same dist, write a distance equation: dist = time * speed
:
Min's dist = Mic's dist
5s = 3(s+25)
5s = 3s + 75
5s - 3s = 75
s = 75%2F2
s = 37.5 mph is Minnie's speed
then
37.5 + 25 = 62.5 mph is Mickey's speed
:
;
Prove this by finding the distance of each
3*62.5 = 187.5 mi
5*37.5 = 187.5 mi