SOLUTION: Matt runs 2 miles per hour faster than Adam. Matt runs 5 miles in the same time that Adam runs 4 miles. Find the speed of each of them.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Matt runs 2 miles per hour faster than Adam. Matt runs 5 miles in the same time that Adam runs 4 miles. Find the speed of each of them.      Log On


   

Question 248193: Matt runs 2 miles per hour faster than Adam. Matt runs 5 miles in the same time that Adam runs 4 miles. Find the speed of each of them.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Matt runs 2 miles per hour faster than Adam.
Matt runs 5 miles in the same time that Adam runs 4 miles.
Find the speed of each of them.
:
let s = running speed of Adam
then
(s+2) = running speed of Matt
:
Write a time equation: Time = dist/speed
Matts time = Adams time
5%2F%28%28s%2B2%29%29 = 4%2Fs
Cross multiply
5s = 4(s+2)
5s = 4s + 8
5s - 4s = 8
s = 8 mph is Adam's running speed
and
8 + 2 = 10 mph is Matt's
;
:
Check solution
5%2F10 = 4%2F8