Tricky Train Timetable Problem

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A train leaves Station A at 8:15 AM and travels at a speed of 60 km/h. Another train leaves Station B at 9:00 AM and travels at a speed of 75 km/h. The distance between Station A and Station B is 225 km. At what time will the two trains meet?

Comments

  1. Rithvik24 September 2024 at 05:48

    Let's start by calculating how far the first train (from Station A) has traveled by the time the second train (from Station B) starts moving at 9:00 AM.

    The time between 8:15 AM and 9:00 AM is 45 minutes, which is (45/60) = 0.75 hours.
    In this time, the first train covers: Distance = 60 km/h × 0.75 hours = 45 km
    After 9:00 AM, the remaining distance between the two trains is: 225 km − 45 km = 180 km

    Now, both trains are moving towards each other. The combined speed of the two trains is: 60 km/h + 75 km/h = 135 km/h

    To find the time taken for the trains to meet, use the formula: Time = Distance ÷ Speed = 180 km ÷ 135 km/h = 1.33 hours = 1 hour and 20 minutes

    The second train started at 9:00 AM, so adding 1 hour and 20 minutes to 9:00 AM gives: 9:00 AM + 1 hour and 20 minutes = 10:20 AM

    The two trains will meet at 10:20 AM.

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