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A train left Station X at 11 50 and arrived at Station Y 12 50. The distance between the two stations is 100 000 m. If the distance between Station Y and Station Z is 40 000 m, find out how long it would take for the train to travel to Station Z if it continued at the same speed.

Question

A train left Station X at 11 50 and arrived at Station Y 12 50. The distance between the two stations is 100 000 m. If the distance between Station Y and Station Z is 40 000 m, find out how long it would take for the train to travel to Station Z if it continued at the same speed.

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Solution

Primero, determinemos la velocidad del tren entre la Estación X y la Estación Y.

  1. Calcular el tiempo de viaje entre la Estación X y la Estación Y:

    • Hora de salida: 11:50
    • Hora de llegada: 12:50
    • Tiempo de viaje: 12:50 - 11:50 = 1 hora
  2. Calcular la velocidad del tren:

    • Distancia entre la Estación X y la Estación Y: 100,000 metros
    • Tiempo de viaje: 1 hora (que es igual a 3600 segundos)
    • Velocidad = Distancia / Tiempo = 100,000 metros / 3600 segundos ≈ 27.78 metros por segundo
  3. Calcular el tiempo de viaje entre la Estación Y y la Estación Z:

    • Distancia entre la Estación Y y la Estación Z: 40,000 metros
    • Velocidad del tren: 27.78 metros por segundo
    • Tiempo = Distancia / Velocidad = 40,000 metros / 27.78 metros por segundo ≈ 1,440 segundos
  4. Convertir el tiempo de segundos a minutos:

    • 1,440 segundos = 1,440 / 60 = 24 minutos

Por lo tanto, si el tren continúa a la misma velocidad, tardaría aproximadamente 24 minutos en viajar de la Estación Y a la Estación Z.

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