Catch-Up Problems: Problem 4

Problem: Two people X and Y start from points A and B and start going towards each other. X walks 70 meters per minute, while Y walks 50 meters per minute. A period of time after the starting time, the two meet at 100 meters from the midpoint. If X paused for a moment, the two will meet somewhere 250 miles from the midpoint. How many minutes did X pause for?

Key: Draw sketches