Question

A fishing boat leaves port at 5 miles per hour at a bearing of 100∘ for 5 hours, then turns to a bearing of 250∘ at 3 miles per hour for 4 hours, and finally changes to a bearing of 280∘ at 2 miles per hour for 3 hours. At this point, the boat heads directly back to port at a speed of 10 miles per hour. Find the time it takes the boat to return to port as well as the boat's bearing as it does.