A train covers a distance of 180 km in 3 hours. What is its speed in m/s?

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Question: A train covers a distance of 180 km in 3 hours. What is its speed in m/s?

Options:

Correct Answer: 20 m/s

Solution:

Speed in m/s = (180 km / 3 h) * (1000 m / 1 km) * (1 h / 3600 s) = 15 m/s.

A train covers a distance of 180 km in 3 hours. What is its speed in m/s?

A train covers a distance of 180 km in 3 hours. What is its speed in m/s?

Step 1: Identify the total distance covered by the train, which is 180 km.
Step 2: Identify the total time taken by the train, which is 3 hours.
Step 3: Calculate the speed in kilometers per hour (km/h) by dividing the distance by the time: 180 km / 3 h = 60 km/h.
Step 4: Convert the speed from kilometers per hour to meters per second. First, note that 1 km = 1000 m and 1 hour = 3600 seconds.
Step 5: Use the conversion factor: Speed in m/s = Speed in km/h * (1000 m / 1 km) * (1 h / 3600 s).
Step 6: Substitute the speed: 60 km/h * (1000 m / 1 km) * (1 h / 3600 s).
Step 7: Calculate the speed in m/s: 60 * (1000 / 3600) = 60 * (1/3.6) = 16.67 m/s.
Step 8: Round the answer to the nearest whole number if needed, which gives approximately 15 m/s.

Speed Calculation – Understanding how to calculate speed using distance and time, and converting units from kilometers per hour to meters per second.
Unit Conversion – Applying the correct conversion factors to change kilometers to meters and hours to seconds.