olymmath

HMMT 2001 T2

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On a certain unidirectional highway, trucks move steadily at 60 miles per hour spaced 1/41 / 4 of a mile apart. Cars move steadily at 75 miles per hour spaced 3 seconds apart. A lone sports car weaving through traffic at a steady forward speed passes two cars between each truck it passes. How quickly is it moving in miles per hour?

Dataset text NuminaMath olympiads. Quoted with source.

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90 \mathrm{mph}

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