Two friends are running a (1000-mathrm{m}) race. Jim gets a head start on Jack by starting earlier.

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Two friends are running a \(1000-\mathrm{m}\) race. Jim gets a head start on Jack by starting earlier. How much earlier should Jim start to win the race if he can only run at \(6.8 \mathrm{~m} / \mathrm{s}\) while Jack can easily run at \(7 \mathrm{~m} / \mathrm{s}\) ?

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