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Two soldiers started racing from point \(P\) to point \(Q,\) a distance of \(10\) miles. Soldier \(1\) ran the first

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by AAPL » Tue Nov 12, 2024 4:07 pm

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Two soldiers started racing from point \(P\) to point \(Q,\) a distance of \(10\) miles. Soldier \(1\) ran the first half of the distance at a constant speed of \(X\) miles per hour and the second half at a constant speed of \(Y\) miles per hour. Soldier \(2\) ran the entire race at a constant speed of \(Z\) miles per hour. \(X\) and \(Y\) are distinct multiples of \(10.\) If neither of them stopped before reaching point \(Q,\) which soldier reached point \(Q\) first?

1) \(Y\) is \(50\%\) more than \(X\)

2) \(Z\) is the average of \(X\) and \(Y\)

OA B
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