Stanley Curry
12/24/2023 · Senior High School

4. Al diseñar la construcción de una ruta, la velocidad máxima permitida en ella en \( \mathrm{km} / \mathrm{h}(\mathrm{V}) \) varía en forma lineal con la longitud de la carretera \( (\mathrm{L}) \). Se presentan dos constructoras para hacerla y cada una establece que dicha relación es: \( V=5 L+50( \) constructora 1) y \( V=3 L+70 \) (constructora 2 ). a) ¿Para qué cantidad de km de ruta construidos, las dos constructoras tendrán la misma velocidad máxima? ¿Cuántos km de ruta van a construir para dicha velocidad? Resolver el problema en forma analítica.

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Las constructoras tendrán la misma velocidad máxima a \( 10 \) km de longitud de la carretera, con una velocidad de \( 100 \, \text{km/h} \).

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