SOLUTION: I've struggling all day! Help much needed! Thanks :) Two hikers,Alan and Ben,are 12.4 miles apart walking towards each other. They meet in 4 hours. What is the rate of each hik

Question 906706: I've struggling all day! Help much needed! Thanks :)
Two hikers,Alan and Ben,are 12.4 miles apart walking towards each other. They meet in 4 hours. What is the rate of each hiker if Ben walks 0.5 mph faster than Alan?
Found 2 solutions by ankor@dixie-net.com, MathTherapy:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two hikers,Alan and Ben,are 12.4 miles apart walking towards each other.
They meet in 4 hours.
What is the rate of each hiker if Ben walks 0.5 mph faster than Alan?
:
Let s = Alan's walking rate
then
(s+.5) = Ben's walking rate
:
When they meet they will have walked a total 12.4 mi.
Write a distance equation; dist = time * speed
:
Alan's dist + Ben's dist = 12.4 mi
4s + 4(s+.5) = 12.4
4s + 4s + 2 = 12.4
8s = 12.4 - 2
8s = 10.4
s = 10.4/8
s = 1.3 mph is Alan's walking rate
then
1.3 + .5 = 1.8 mph is Ben's
:
:
Confirm this find the actual dist each walked
4 * 1.3 = 5.2
4 * 1.8 = 7.2
---------------
total dist: 12.4 mis
Answer by MathTherapy(10556) (Show Source): You can put this solution on YOUR website!

I've struggling all day! Help much needed! Thanks :)
Two hikers,Alan and Ben,are 12.4 miles apart walking towards each other. They meet in 4 hours. What is the rate of each hiker if Ben walks 0.5 mph faster than Alan?

Let Alan�s speed be S
Then Ben�s is: S + 0.5
Therefore, 4S + 4(S + 0.5) = 12.4
4S + 4S + 2 = 12.4
8S = 12.4 � 2
8S = 10.4
S, or Alan�s speed = , or mph
Ben�s speed = 1.3 + 0.5, or mph
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