10. A track event consists of the following race lengths in meters (m): 100 m, 200 m, 400 m, 800 m, 1,500 m, 5,000 m, 10,000 m. Given 1000 m = 1 kilometer (km), how many km would an athlete run if competing in all the races?
Answer: B
18 km
An athlete would run a total of 18 kilometers if competing in all the races. This is calculated by summing the distances of each race and converting the total from meters to kilometers.
A) 17,000 km
This option is incorrect as it miscalculates the total distance. Summing the race lengths gives 18,000 meters, which converts to 18 kilometers, not 17,000 kilometers.
B) 18 km
This option is correct. The total distance of the races is 100 m + 200 m + 400 m + 800 m + 1,500 m + 5,000 m + 10,000 m, which equals 18,000 m. Converting 18,000 m to kilometers results in 18 km.
C) 18,000,000 km
This option is incorrect as it represents a gross overestimation of the distance. The total distance of 18,000 meters only converts to 18 kilometers, not millions of kilometers.
D) 19,000 km
This option is also incorrect. The correct total distance is 18 kilometers, and claiming 19,000 kilometers does not align with the calculated sum of the race lengths.
Conclusion
The correct answer is 18 km, as it accurately reflects the total distance run in all races when properly converted from meters to kilometers. All other options either miscalculate the total or present unrealistic figures.