Irene Posted September 17, 2014 Report Share Posted September 17, 2014 ..Benjamin and jack were in a 100 metre race. When Benjamin crossed the finish line, jack was only at the 90 metre mark. Benjamin suggested they run another race. This time, Benjamin would start 10 metres behind the starting line. All other things being equal, will jack win, lose, or will it be a tie in the second race? Quote Link to comment Share on other sites More sharing options...
Alan2273 Posted September 17, 2014 Report Share Posted September 17, 2014 Benjamin will still win.First race 100m - 90 m = 0.1m advantage per metreSecond race 110m x 90m = 11m advantage for Ben so Jack will only have completed 99M. Quote Link to comment Share on other sites More sharing options...
Gandalph Posted September 17, 2014 Report Share Posted September 17, 2014 Benjamin would win the second race. Quote Link to comment Share on other sites More sharing options...
Irene Posted September 17, 2014 Author Report Share Posted September 17, 2014 Benjamin will still win. First race 100m - 90 m = 0.1m advantage per metre Second race 110m x 90m = 11m advantage for Ben so Jack will only have completed 99M. Great answer, Alan. A much better technical answer than the 'official' one. :D The 'official' one: Jack will lose again. In the second race, Benjamin started ten metres back. By the time jack reaches the 90 metre mark, Benjamin will have caught up to him. Therefore the final 10 metres will belong to the faster of the two. Since Benjamin is faster than jack, he will win the final 10 metres and of course the race. Quote Link to comment Share on other sites More sharing options...
Belatucadrus Posted September 17, 2014 Report Share Posted September 17, 2014 Unless of course Jack was a better 200 m runner in which case he may have been going faster after the 100m point.But actually neither of them was the winner, it was Dave who'd been eliminated for a false start on the first run but was allowed to compete on the second race. Quote Link to comment Share on other sites More sharing options...
Irene Posted September 17, 2014 Author Report Share Posted September 17, 2014 Unless of course Jack was a better 200 m runner in which case he may have been going faster after the 100m point. But actually neither of them was the winner, it was Dave who'd been eliminated for a false start on the first run but was allowed to compete on the second race. B) :lol: Quote Link to comment Share on other sites More sharing options...
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