andy and kate are running around a 400 meter track. if they run in the same direction. andy will pass kate in 100 secounds. if they run in the opposite direction they will meet in 25 seconds. what is andys velocity in meters per seconds?

To find Andy's velocity in meters per second, we first need to calculate the distance Andy runs in one second. We can do this by dividing the length of the track (400 meters) by the time it takes for Andy to pass Kate or meet her.

1. To calculate the distance Andy runs in one second when he passes Kate, we divide the length of the track (400 meters) by the time it takes for Andy to pass Kate (100 seconds):
Distance passed in one second = 400 meters / 100 seconds = 4 meters/second

2. To calculate the distance Andy runs in one second when they are running in opposite directions and meet, we divide the length of the track (400 meters) by the time it takes for them to meet (25 seconds):
Distance covered in one second when running in opposite directions = 400 meters / 25 seconds = 16 meters/second

Since we have two different velocities depending on the direction, we can say that Andy's velocity is between 4 meters/second and 16 meters/second, depending on the direction they are running.