Have you learned Polar coordinates yet? It is easiest to write everything up in Polar coordinates and then convert to rectangular coordinates. So, in Polar coordinates, both Charlie and Alexandria have constant radius , so their positions are and . The circumference of the track is meters. So, in seconds, Alexandria travels of the full track.
To find the measure in radians, multiply by , so radians. Since her starting angle is , you have radians.
To find the measure in degrees, multiply by , so degrees. Since her starting angle is , you have degrees.
Now, at three minutes, , so . Assuming Charlie's speed is constant, where is Charie's angular speed in either radians per second or degrees per second. Since Charlie's initial position is , you know if you want the measure in radians and if you are using degrees.
Then, in radians: . Solving for gives radians per second. So, Charlie's position (with theta in radians) is .
In degrees: . Solving for gives degrees per second. So, Charlies position (with theta in degrees) is .
To go from polar coordinates to rectangular coordinates, you just have and . So, Charlie's position at one minute is given by (using theta in radians) or (using theta in degrees). This gives his position after one minute to be approximately .