SOLUTION: If I run 6 mph and my friend gives me a one hour head start. How long will I be running before my friend catches me?

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Question 1049446: If I run 6 mph and my friend gives me a one hour head start. How long will I be running before my friend catches me?
Found 2 solutions by advanced_Learner, MathTherapy:
Answer by advanced_Learner(501)   (Show Source): You can put this solution on YOUR website!
friend
time
speed
distance


you
time
speed
distance
=
=
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=25 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 5, 0. Here's your graph:
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

If I run 6 mph and my friend gives me a one hour head start. How long will I be running before my friend catches me? 
Never will he/she catch you, if your friend's speed is: . 

However, if you stop running, he/she will catch you. Why do you ask such a question, anyway?

Have you read what you posted? Does it really make sense to you? I really hope it doesn't! 

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