SOLUTION: Two hikers, Alan and Ben, are 16 miles apart and walking towards each other. They meet in 4 hours. Find the rate of each hiker if Ben walks 0.4 mph faster than Alan.

Question 1016359: Two hikers, Alan and Ben, are 16 miles apart and walking towards each other. They meet in 4 hours. Find the rate of each hiker if Ben walks 0.4 mph faster than Alan.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two hikers, Alan and Ben, are 16 miles apart and walking towards each other.
They meet in 4 hours.
Find the rate of each hiker if Ben walks 0.4 mph faster than Alan.
:
let s = Alan's hiking speed
Ben is .4 mph faster, therefore
(s+.4) = Ben's hiking speed
:
When they meet, the sum of their distances = 16 mi
They both hike for 4 hrs
:
Write a distance equation; dist = speed * time
4(s+.4) + 4s = 16
4s + 1.6 + 4s = 16
8s = 16 - 1.6
8s = 14.4
s = 14.4/8
s = 1.8 mph is Alan's speed
then
1.8 + .4 = 2.2 mph is Ben's speed
:
:
Check this, find the actual dist each traveled, should add up to 16.
4(1.8) = 7.2 mi
4(2.2) = 8.8 mi
-----------------
total dist: 16 mi
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