Alex and Charlie start running around a circular track at the same time. The track has a radius of 160 meters. Alex starts at the westernmost point and runs counterclockwise, taking 200 seconds to run one lap. Charlie runs clockwise at 3 meters per second and passes Alex for the first time after they have been running for 25 seconds. (a)From when he begins running, how long does it take Charlie to reach the northernmost point of the track? (b)How many meters north or south of his starting point is Charlie after he has been running for 1200 seconds? Specify the number of meters, and whether Charlie is north or south of his starting point. I also want to let whoever is solving this know that I am taking precalc, and am not aware of any calc topics. I would want an explanation that doesn’t involve any calc topic (i.e derivatives or something like that).
Alex and Charlie start running around a circular track at the same time. The track has a radius of 160 meters. Alex starts at the westernmost point and runs counterclockwise, taking 200 seconds to run one lap. Charlie runs clockwise at 3 meters per second and passes Alex for the first time after they have been running for 25 seconds.
(a)From when he begins running, how long does it take Charlie to reach the northernmost point of the track?
(b)How many meters north or south of his starting point is Charlie after he has been running for 1200 seconds? Specify the number of meters, and whether Charlie is north or south of his starting point.
I also want to let whoever is solving this know that I am taking precalc, and am not aware of any calc topics. I would want an explanation that doesn’t involve any calc topic (i.e derivatives or something like that).
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
