Five friends (Allison, Beth, Bob, Sue, and Tom) live in consecutive houses on the same side of one block of an east-west street. There are only the five houses on that side of the block. From the clues, determine who lives where.
Bob does not live at either end of the block.
Exactly one girl and one boy live next to Sue.
Tom lives west of Beth.
Bob lives east of Allison.
Usually, the friends meet at Sue’s because the total distance everyone has to travel to get there is lower than that for any other of the five friends.
Submit your answer to Gene Wirchenko <email@example.com>. Your answer should be in the form of a proof. That means to show how your answer must be correct. The deadline is Wednesday, November 22, 2017 at noon Pacific Time. I will post the answer shortly after.