A train started with a speed of 30 kmph. After 3 hours second train of same…

2024

A train started with a speed of 30 kmph. After 3 hours second train of same length starts from the same place and goes with a speed 60 kmph. How much time will the second train take to catch the first train?

  1. A.

    120 minutes

  2. B.

    150 minutes

  3. C.

    180 minutes

  4. D.

    210 minutes

Attempted by 1 students.

Show answer & explanation

Correct answer: C

Step-by-Step Solution

To determine how long it takes for the second train to catch the first, we calculate the head start distance and then use relative speed.

  1. Calculate the head start distance:

    • The first train travels at 30 km/h for 3 hours before the second train starts.

    • Head start distance = 30 km/h * 3 hours = 90 km.

  2. Determine the relative speed:

    • Since both trains are moving in the same direction, their relative speed is the difference between their speeds.

    • Relative speed = 60 km/h - 30 km/h = 30 km/h.

  3. Calculate the time to catch up:

    • Time = Distance / Relative speed

    • Time = 90 km / 30 km/h = 3 hours.

  4. Convert to minutes:

    • 3 hours * 60 minutes/hour = 180 minutes.

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