Henry Ernest Dudeney/Modern Puzzles/50 - Exploring Mount Neverest

by : $50$

 * Exploring Mount Neverest
 * Professor Walkingholme, one of the exploring party, was allotted the special task of making a complete circuit of the base of the mountain at a certain level.
 * The circuit was exactly $100$ miles in length and he had to do it all alone on foot.
 * He coould walk $20$ miles a day, but he could only carry rations for $2$ days at a time,
 * the rations for each day being packed in sealed boxes for convenience in dumping.
 * He walked his full $20$ miles every day and consumed $1$ day's ration as he walked.


 * What is the shortest time in which he could complete the circuit?


 * This simple question will be found to form one of the most fascinating puzzles that we have considered for some time.
 * It made a considerable demand on Professor Walkingholme's well-known ingenuity.