Solve This Problem

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There are three runners X, Y, and Z

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There are three runners X, Y, and Z. Each runs with a different uniform speed in a 1000 meters race.
If X gives Y a start of 50 meters, they will finish the race at the same time.
If X gives Z a start of 69 meters, they will finish the race at the same time.
Suppose Y and Z are in a race. How much of a start should Y give to Z so they would finish the race at the same time?

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