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A cyclist averages a speed of 15,500 meters per hour. Choose a more appropriate unit for measuring her cycling speed and convert this measurement into the chosen units.

A. Kilometers per hour (km/hr), 15.5 km/hr
B. Kilometers per minute (km/min), 258.33 km/min
C. Centimeters per second (cm/s), 155,000 cm/s
D. Meters per minute (m/min), 258.33 m/min

Answer :

Final answer:

A cyclist with an average speed of 15,500 meters per hour can be represented as 15.5 km/hr, 0.258 km/min, 430.56 cm/s, and 258.33 m/min. The provided options contain several errors in unit conversion.

Explanation:

The question requires a conversion of the cyclist's speed from meters per hour to other units. Given the cyclist's speed is 15,500 meters per hour, we first convert this to a more common and suitable unit which is kilometers per hour (km/hr). Since 1 kilometer equals 1,000 meters, we divide the speed by 1,000 to get 15.5 km/hr.

For conversion into kilometers per minute (km/min), we consider that 1 hour equals 60 minutes. We divide the speed in km/hr by 60 to get the result. However, the provided option b. Kilometers per minute (km/min), 258.33 km/min appears to be incorrect. If we calculate this conversion, it should yield approximately 0.258 km/min.

Next, to measure the speed in terms of centimeters per second (cm/s), we need to utilize two conversion factors - one to convert hours into seconds (1 hour = 3600 seconds) and another to convert meters into centimeters (1 meter = 100 centimeters). Upon evaluating this, we get 430.56 cm/s, not 155,000 cm/s.

Finally, when converting to meters per minute (m/min), we utilize the factor that 1 hour contains 60 minutes. This calculation provides us with a figure of 258.33 m/min, matching the provided options.

Learn more about Unit Conversion here:

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