SOLUTION: You run at a rate of 5 miles per hour and your friend runs at a rate of 4 miles per hour. Your friend starts 2 miles farther along the trail than you do. If you both start running

Question 717863: You run at a rate of 5 miles per hour and your friend runs at a rate of 4 miles per hour. Your friend starts 2 miles farther along the trail than you do. If you both start running at the same time, in how many minutes will you catch your friend?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the time in hours from when they both
start running to when you catch your friend
Let = the distance that you have to travel until
you catch your friend
-----------------------
Your equation:
(1)
Your friend's equation:
(2)
----------------
Substitute (1) into (2)
(2)
(2)
In 120 minutes, you will catch your friend
check:
(1)
(1)
(1) mi
and
(2)
(2)
(2)
(2) mi
OK

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