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A train is running at a speed of 60 km//...

A train is running at a speed of 60 `km//h`. Calculate the speed of train in `m//s`.

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To convert the speed of a train from kilometers per hour (km/h) to meters per second (m/s), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the given speed**: The train is running at a speed of 60 km/h. 2. **Understand the conversion factor**: To convert km/h to m/s, we use the conversion factor of \( \frac{5}{18} \). This is derived from the fact that: - 1 kilometer = 1000 meters - 1 hour = 3600 seconds - Therefore, \( 1 \text{ km/h} = \frac{1000 \text{ meters}}{3600 \text{ seconds}} = \frac{1000}{3600} = \frac{5}{18} \text{ m/s} \). 3. **Apply the conversion factor**: Multiply the speed in km/h by \( \frac{5}{18} \): \[ \text{Speed in m/s} = 60 \text{ km/h} \times \frac{5}{18} \] 4. **Calculate the result**: \[ \text{Speed in m/s} = 60 \times \frac{5}{18} = \frac{300}{18} = 16.67 \text{ m/s} \] 5. **Final answer**: The speed of the train is 16.67 m/s.
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Knowledge Check

  • A train goes with a speed of 20 m/s. What is the speed of train in km/h?

    A
    57 km/h
    B
    72 km/h
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    D
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  • A train goes with a speed of 20 m/s what is the speed of train in km/h?

    A
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    B
    72 km/h
    C
    80 km/h
    D
    120 km/h
  • A train goes with a speed of 20 m/s what is the speed of train in km/h?

    A
    1.2
    B
    12
    C
    1200
    D
    120
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