Train Timetable Problem

A train leaves London at 10:15 AM and travels to Manchester at an average speed of 75 km/h. The total distance between the two cities is 300 km.

Halfway through the journey, the train stops for 15 minutes at a station.

At what time does the train arrive in Manchester?

Comments

  1. Solution:

    Calculate the total travel time (excluding the stop):

    Distance = 300 km
    Speed = 75 km/h
    Time taken = 300 ÷ 75 = 4 hours
    Include the stop time:

    The train stops for 15 minutes (or 0.25 hours).
    Total journey time = 4 + 0.25 = 4.25 hours.
    Find the arrival time:

    Departure time = 10:15 AM
    Add 4 hours and 15 minutes (4.25 hours) to the departure time:
    10:15 AM + 4 hours = 2:15 PM
    2:15 PM + 15 minutes = 2:30 PM
    Final Answer: The train arrives in Manchester at 2:30 PM.

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