Final answer:
To find the rate in km/hr, convert the distance from miles to kilometers (12.3 miles = 19.794722 km) and the time from minutes to hours (35 minutes = 0.5833 hours), then calculate the speed (19.794722 km / 0.5833 hours = 33.93 km/h).
Step-by-step explanation:
To calculate the rate of travel in km/hr when you have worked out on a stationary bike for 35 minutes and the bike display shows that you have traveled 12.3 miles, you should first convert miles to kilometers and then convert the speed from the time in minutes to hours. To convert miles to kilometers, use the conversion factor where 1 mile is approximately 1.60934 kilometers.
First, we convert the distance traveled in miles to kilometers:
- 12.3 miles × 1.60934 km/mile = 19.794722 km
Next, we convert the time from minutes to hours. Since there are 60 minutes in an hour, you divide the number of minutes by 60:
- 35 minutes ÷ 60 minutes/hour = 0.5833 hours
Then, calculate the average speed by dividing the distance in kilometers by the time in hours:
- Average speed = 19.794722 km / 0.5833 hours ≈ 33.93 km/h (rounded to two decimal places)
Finally, check whether the answer is reasonable. In this case, if you travel 19.794722 km in approximately a third of an hour, the average speed does seem reasonable when compared to the given example.