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  1. A un puerto llegan regularmente, tres barcos cruceros.
    El primero de ellos lo hace cada 12 dias, el segundo
    cada 18 dias y el tercero cada 24 dias. Si el primero
    de agosto se encontraron en el puerto. ¿En qué fecha
    volverán a encontrarse? Suponer que cada mes tiene
    30 dias
    a) 24 de Agosto
    b) 18 de Septiembre
    c) 13 de Octubre
    d) 01 de Noviembre

Ask by Daniel Todd. in Colombia
Feb 14,2025

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Volverán a encontrarse el 13 de octubre.

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Bonus Knowledge

Para determinar cuándo volverán a encontrarse los tres barcos, necesitamos calcular el mínimo común múltiplo (MCM) de los intervalos de llegada: 12, 18 y 24 días. El MCM de estos números es 72, lo que significa que los barcos volverán a coincidir en el puerto después de 72 días. Si empezamos a contar desde el 1 de agosto, después de 30 días llegamos al 31 de agosto, y tras 42 días más, llegamos al 11 de octubre. Sumando 30 días adicionales, la próxima fecha será el 11 de octubre.
Así que la respuesta correcta es la opción © 13 de octubre, porque el encuentro sucede el día 13. ¡Así que marineros, anoten esa fecha en sus calendarios!

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