50 POINTS!!! Sam and Liam raced each other up and then down the hill. Sam's average speed up the hill was 1 mph, and his average speed down was 9 mph. Liam ran up the hill and down the hill with the same speed, 2 mph. If the path from the bottom to the top of the hill is 1 mile long, how much time did it take each of the boys to finish - and who was the winner?