What time do they meet

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A train leaves Station A at 10:30 am and travels to Station B at a speed of 60 km/h. Another train leaves Station B at 11:00 am and travels towards Station A at a speed of 80 km/h. The distance between Station A and Station B is 210 km. At what time do the two trains meet?

Comments

  1. Rithvik24 February 2025 at 06:41

    Step 1: Calculate the head start of the first train.
    The first train leaves at 10:30 am, while the second leaves at 11:00 am.
    In this half-hour (0.5 hours), the first train travels:
    60 km/h × 0.5 h = 30 km

    Distance remaining between the two trains when the second train starts:
    210 - 30 = 180 km

    Step 2: Calculate the relative speed.
    Since they are moving towards each other, their relative speed is:
    60 + 80 = 140 km/h

    Step 3: Calculate the time taken to meet.
    Time = Distance / Speed
    Time = 180 ÷ 140 = 9/7 = 1.285 hours

    Convert 0.285 hours to minutes:
    0.285 × 60 = 17.1 ≈ 17 minutes

    The two trains meet approximately 1 hour and 17 minutes after 11:00 am, which is at 12:17 pm.

    Final Answer:
    The two trains meet at 12:17 pm.

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