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Speed of the train is 60 km/h, then find...

Speed of the train is 60 km/h, then find the speed of m/s.

A

16.67 m/s

B

18.25 m/s

C

17 m/s

D

none of these

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The correct Answer is:
To convert the speed of the 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 speed of the train is given as 60 km/h. 2. **Convert kilometers to meters**: - We know that 1 kilometer (km) is equal to 1000 meters (m). - Therefore, to convert 60 km to meters: \[ 60 \text{ km} = 60 \times 1000 \text{ m} = 60000 \text{ m} \] 3. **Convert hours to seconds**: - We know that 1 hour (h) is equal to 3600 seconds (s). - Therefore, to convert 1 hour to seconds: \[ 1 \text{ h} = 3600 \text{ s} \] 4. **Calculate the speed in m/s**: - Now, we can convert the speed from km/h to m/s using the formula: \[ \text{Speed in m/s} = \frac{\text{Speed in km/h} \times 1000}{3600} \] - Substituting the values: \[ \text{Speed in m/s} = \frac{60 \times 1000}{3600} = \frac{60000}{3600} \] 5. **Simplify the fraction**: - To simplify \( \frac{60000}{3600} \): \[ \frac{60000 \div 600}{3600 \div 600} = \frac{100}{6} \approx 16.67 \] 6. **Final answer**: - Therefore, the speed of the train in meters per second is approximately **16.67 m/s**.
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