** The 4:00 Meeting
**Tom and Bill are standing at two places on a straight road. Tom starts

walking toward Bill and arrives at Bill’s original place 11 minutes after

Bill had left. At perhaps a different time, Bill starts walking toward Tom

and arrives at Tom’s original place 15 minutes after Tom had left. When

each reaches the other’s original place, he immediately turns and starts

back, and they meet in the center at 4:00. Assuming that they walked at

constant rates, when did each start to travel on the road?

** Alice Forgets Her Purse
**On her way out of Macys, Alice walks down a down-moving escalator

in 50 steps. When she reaches the bottom, she suddenly remembers

she forgot her purse, and she turns and runs back up the escalator in

125 steps, stepping five times as fast as she went down. How many steps

are on the surface of the escalator?

**The Twelve Coins**You have 12 coins. They are identical, except that one of them is either

heavier or lighter than the rest. In three weighings on a balance scale, find

the odd coin and whether it’s heavier or lighter.