CAN BOB OUTRUN
ALICE?
Alice and Bob ran a marathon (assumed
to be exactly 26.2 miles long) with Alice running at a perfectly uniform
eight-minute-per-mile pace, and Bob running in fits and starts, but taking
exactly 8 minutes and 1 second to complete each mile interval (this
refers to all intervals of the form (x, x+1), including, for example, the
interval from 3.78 miles to 4.78 miles). Is it possible that Bob finished
ahead of Alice? Justify your answer.