is a speed of 6.5 on a tredmill for five minutes equal to a good mark for a seventh grade girl to get 67 seconds in the 4 by 400?
6.5 what? meters/second, ft/sec, mph or what? What units are 4 by 400?
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To determine whether a speed of 6.5 on a treadmill for five minutes is equal to a good mark for a seventh-grade girl to complete the 4 by 400 meters race in 67 seconds, we need to understand the units and measurements involved.
1. Treadmill Speed:
A speed of 6.5 on a treadmill usually denotes 6.5 miles per hour (mph) or kilometers per hour (km/h), depending on the unit of measurement used. To compare this speed with the 4 by 400 meters race, we need to convert the speed to a distance that can be measured in meters.
2. Converting Treadmill Speed:
To convert treadmill speed from mph to meters per second (m/s), we can use the following conversion factors:
- 1 mile = 1609.34 meters
- 1 hour = 3600 seconds
Let's calculate the treadmill speed in meters per second:
Speed in meters per hour = Speed in miles per hour × 1609.34 = 6.5 mph × 1609.34 m
Speed in meters per second = Speed in meters per hour ÷ 3600 seconds
By using these conversion factors, we can find the equivalent speed on the treadmill in meters per second.
3. 4 by 400 Meters Race:
The 4 by 400 meters race is a standard relay race in track and field events. Each runner in a team runs 400 meters, and the total distance covered by the team is 1600 meters (4 runners × 400 meters each).
4. Comparing Treadmill Speed with 4 by 400 Meters Race:
To compare the treadmill speed with the 4 by 400 meters race, we need to consider the time taken to complete each task. The treadmill speed is measured in terms of the distance covered in a specific time (5 minutes), while the 4 by 400 meters race time is given as 67 seconds.
If the converted treadmill speed (in meters per second) is greater than the time taken to complete the 4 by 400 meters race (in seconds), it would indicate that the treadmill speed is faster than the race time. However, if the converted treadmill speed is less than the race time, it would show that the treadmill speed is slower.
By following these steps, you can calculate the converted treadmill speed and compare it with the race time to determine the equivalence or how good the time is for a seventh-grade girl in the 4 by 400 meters race.