Evening Up a Race In a 100-meter race, Todd crosses the

Chapter 1, Problem 104

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Evening Up a Race In a 100-meter race, Todd crosses the finish line 5 meters ahead of Scott. To even things up, Todd suggests to Scott that they race again, this time with Todd lining up 5 meters behind the start. (a) Assuming that Todd and Scott run at the same pace as before, does the second race end in a tie? (b) If not, who wins? (c) By how many meters does he win? (d) How far back should Todd start so that the race ends in a tie? After running the race a second time, Scott, to even things up, suggests to Todd that he (Scott) line up 5 meters in front of the start. (e) Assuming again that they run at the same pace as in the first race, does the third race result in a tie? (f) If not, who wins? (g) By how many meters? (h) How far ahead should Scott start so that the race ends in a tie?