11.19.2008
Tie 100% Set
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Math (Pre-Calculus) Help?
Note: I'm not asking for someone to do my homework for me, I am asking because I do not understand how to do this type of problem and I genuinely would like to understand.
Situation: In a 100 meter race, George crosses the finish line 5 meters ahead of Bob. To even things up, George suggests to Bob that they race again, this time with George lining up 5 meters behind the start.
1) Assuming that George and Bob run at the same pace as before, does the second race end in a tie?
2) If not, who wins?
3) By how many meters does he win?
4) How far back should George start so that the race ends in a tie?
Problem: I do not know how to set this situation up. I don't need every answer given to me but I need a foundation. Do I use a series of equations with differing slope values and initial values? Or is this a rate problem? The more detailed the help, the better and the more it will help. Thanks.
George runs 100 meters in the time that Bob runs 95.
This problem assumes an even respective velocity for each contestant, or, at least, similar acceleration rates leveling out to their respective maximum (and, I assume, undiminishing) velocities.
Nevertheless, you could say that Bob's velocity is 95/100 George's.
It'll get down to this: is 95/100 the same as 100/105? If not, how different?
Is this enough to get you started?
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