SOLUTION: Action Man was eating in a diner when his super-powered ears heard someone 2 miles away yelling for help. He rushed outside and ran to the man (named ED) who had fallen from a tree

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Action Man was eating in a diner when his super-powered ears heard someone 2 miles away yelling for help. He rushed outside and ran to the man (named ED) who had fallen from a tree      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 268596: Action Man was eating in a diner when his super-powered ears heard someone 2 miles away yelling for help. He rushed outside and ran to the man (named ED) who had fallen from a tree. Six minutes after he arrived, an ambulance pulled up that had driven 12 miles to the scene. If the ambulance drove 3 times as fast as Action Man ran, how long did it take Action Man to get to Ed?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Action Man was eating in a diner when his super-powered ears heard someone 2 miles away yelling for help.
He rushed outside and ran to the man (named ED) who had fallen from a tree.
Six minutes after he arrived, an ambulance pulled up that had driven 12 miles to the scene.
If the ambulance drove 3 times as fast as Action Man ran, how long did it take Action Man to get to Ed?
:
Let s = A-man's speed
then
3s = Amb speed
:
Change 6 min to 6/60 = .1 hrs
:
Write a time equation: Time = dist/speed
:
A-man's time + .1 hr = Amb time
2%2Fs + .1 = 12%2F%283s%29
2%2Fs + .1 = 4%2Fs; reduced fraction
multiply by s
2 + .1s = 4
.1s = 4 - 2
.1s = 2
s = 2%2F.1
s = 20 mph is A-man's speed
then
2%2F20 = .1 hrs which is 6 minutes for A-man to run two miles
:
:
You can confirm this by finding the time for the amb to come
3(20) = 60 mph is amb speed, would take 12 min to go 12 mi, 6 min after A-man