Your friend has a paper route that he completes by riding his bicycle. When riding between his home and the pick-up station to pick up his papers, located in the same neighborhood as his route, his average speed is 12 miles per hour. On Mondays through Saturdays, his average speed is 0.4 miles per hour while making the deliveries, and it takes him 3 hours and 51 minutes from the moment he leaves home to the moment he returns while making the deliveries. On Sundays, because the paper is larger, his average speed is 0.3 miles per hour while making the deliveries, which adds 1 hour and 15 minutes to the time taken to complete the route.

(a) Write a system of linear equations that represents the situation. Let x be the distance (in miles) from your friend's home to the pick-up station and let y be the route length (in miles).

(b) Solve the system via elimination. How far is it from your friend's home to the pick-up station? What is the route length?