High School

Tim and Don start at the same point and ride bicycles in the same direction around a circular track with a circumference of 500 meters. Tim rides at a constant speed of 5.5 meters per second, and Don rides at a constant speed of 6.5 meters per second. After 5 minutes, what is the least distance in meters between Tim and Don when measured along the circular track?

A. 250 meters
B. 275 meters
C. 300 meters
D. 325 meters

Answer :

Final answer:

To find the least distance between Tim and Don after 5 minutes, calculate the distance they each travel and take the difference modulo 500.

Explanation:

To find the least distance between Tim and Don after 5 minutes, we need to calculate the distance they each travel in that time. Tim's speed is 5.5 meters per second, so in 5 minutes (300 seconds), he will have traveled 5.5 * 300 = 1650 meters. Don's speed is 6.5 meters per second, so in 5 minutes, he will have traveled 6.5 * 300 = 1950 meters. Since the track has a circumference of 500 meters, the least distance between them is the difference between their final positions modulo 500, which is 1950 - 1650 = 300 meters. Therefore, the correct answer is c. 300 meters.

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