Question

The 2004 Tour de France was 3391.1 kilometers. The winner won the race in a little over 83.5 hours. Fill in the blanks to find the winner's average speed in meters per hour.

[ {3391.1 text{ km}}/{83.5 text{ h}} = text{? meters per hour} ]
a) 40,567
b) 41,123
c) 42,095
d) 43,078

Answer 1

The winner's average speed in meters per hour is approximately 40,572 meters per hour.

Step-by-step explanation:

To find the winner's average speed in meters per hour, we need to convert the distance of the race from kilometers to meters and the time from hours to seconds.

Step 1: Convert 3391.1 km to meters by multiplying it by 1000 since there are 1000 meters in a kilometer. This gives us 3,391,100 meters.

Step 2: Convert 83.5 hours to seconds by multiplying it by 3600 (60 seconds in a minute, 60 minutes in an hour). This gives us 300,600 seconds.

Step 3: Divide the distance in meters by the time in seconds to find the average speed. 3,391,100 meters divided by 300,600 seconds is approximately 11.27 meters per second.

Step 4: Convert meters per second to meters per hour by multiplying by 3600 (60 minutes in an hour, 60 seconds in a minute). 11.27 meters per second multiplied by 3600 is approximately 40,572 meters per hour.

Therefore, the winner's average speed in meters per hour is approximately 40,572, which is option a).