SOLUTION: I need help on this distance problem; I am pretty sure that the formula is D1=K+D2 but I am not sure about what to do after that here is the problem; Amy had a 120 mile head start

Question 753330: I need help on this distance problem; I am pretty sure that the formula is D1=K+D2 but I am not sure about what to do after that here is the problem; Amy had a 120 mile head start on Kathy. Kathy drove at 15 miles per hour, and Amy ran at 3 miles per hour. How far did Kathy have to drive to catch Amy. If you could help me with this problem I would really appreciate it. Thank You

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Think about it this way. If A has a head start over K and they are going the exact same rate, then K never catches A. But if K is going a little bit faster, then that little bit is used to eat up the head start and eventually K catches A. In your problem, you have K going 12 miles per hour faster than A (15 minus 3 = 12), so it is this difference that is applied to the head start distance. How long does it take K to cover the 120 mile head start at 12 mph?

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

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