SOLUTION: You run at a rate of 4 miles per hour and your friend runs at a rate of 3.5 miles per hour. Your friend starts running 10 minutes before you, and you run for a half hour on the sam

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Question 690729: You run at a rate of 4 miles per hour and your friend runs at a rate of 3.5 miles per hour. Your friend starts running 10 minutes before you, and you run for a half hour on the same path. Will you catch up to your friend? Use a graph to support your answer.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
You run at a rate of 4 miles per hour and your friend runs at a rate of 3.5 miles per hour.
Your friend starts running 10 minutes before you, and you run for a half hour on the same path.
Will you catch up to your friend? Use a graph to support your answer.
:
The question is, Does your friend run further in 40 min than you run in 30 min.
:
Friend: 40%2F60 * 3.5 = 21%2F3 mi
You: 30%2F60 * 4 = 2 mi
You won't catch up in a half hour
:
Graph it in ft/min; You in red, friend in green
:
4 mph: %284%2A5280%29%2F60 = 352 ft/min; y = 352x
3.5 mph: %283.5%2A5280%29%2F60 = 308 ft/min; y = 308(x+10)
:
+graph%28+300%2C+200%2C+-10%2C+100%2C+-5000%2C+30000%2C+353x%2C+308%28x%2B10%29%29+
You can see that at 30 min green is still ahead of red
Take about 70 min for you to catch your friend