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A train is running with the speed of 45 ...

A train is running with the speed of 45 km/hr what is its speed in metre per second

A

12.5

B

13.5

C

20.5

D

none of these

Text Solution

AI Generated Solution

The correct Answer is:
To convert the speed of the train from kilometers per hour (km/hr) to meters per second (m/s), we can use the conversion factor. The formula for this conversion is: \[ \text{Speed in m/s} = \text{Speed in km/hr} \times \frac{5}{18} \] ### Step-by-Step Solution: 1. **Identify the speed in km/hr**: The speed of the train is given as 45 km/hr. 2. **Use the conversion factor**: To convert km/hr to m/s, we multiply by \( \frac{5}{18} \). \[ \text{Speed in m/s} = 45 \times \frac{5}{18} \] 3. **Calculate the multiplication**: First, calculate \( 45 \times 5 \): \[ 45 \times 5 = 225 \] 4. **Divide by 18**: Now, divide 225 by 18: \[ \frac{225}{18} = 12.5 \] 5. **Final result**: Therefore, the speed of the train in meters per second is: \[ \text{Speed} = 12.5 \, \text{m/s} \] ### Conclusion: The correct answer is \( 12.5 \, \text{m/s} \).
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