High School

Boris and Stella are walking on a circular path with a radius of 1000 meters. Stella walks three times as fast as Boris. How far is Boris from his starting point after 1500 seconds?

A. 750 meters
B. 1000 meters
C. 1250 meters
D. 1500 meters

Answer :

Final answer:

Boris will be 333.33 meters from his starting point after 1500 seconds.

Explanation:

Given that Stella walks three times faster than Boris, we can determine their speeds relative to each other. Let's assume that Boris walks at a speed of x meters per second. Stella's speed would then be 3x meters per second.

Since they are both walking on a circular path with a radius of 1000 meters, their distances from the starting point will be directly proportional to the time they have been walking. After 1500 seconds, Boris will have covered a distance of 1500x meters, while Stella will have covered a distance of 1500(3x) = 4500x meters.

Since we are given that Stella is three times faster, we can set up the equation 4500x = 1000 to find the value of x. Solving for x, we get x = 1000/4500 = 2/9 meters per second. Therefore, after 1500 seconds, Boris will be 1500 * (2/9) = 333.33 meters from his starting point. Answer choice d) 1500 meters is incorrect.