A pilgrim departs from Castle Acre at 7.30 am on Wednesday and walks along Peddars Way and arrives at Holme-Next-The-Sea at 6.30 pm on the same day. The next day he leaves Holme at 7.30 am and arrives back at Castle Acre at 6.30 pm. Is he ever in the same place at the same time on the Thursday as he was on the Wednesday? Can you prove it? Convince yourself. Convince a friend There are many other puzzles available on the NRICH website www.nrich.maths.org The NRICH Maths Project provides a free monthly magazine containing articles, problems, puzzles, games and challenges suitable for all ages. It provides resources for maths clubs, home users and teachers.

Solution on page 30