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This problem encourages students to think of different ways in which it can be solved. This can be done using trial and improvement, but preferably, and more efficiently, by creating some linear equations. The very fact that the six men have names beginning with the letters A to F should make an algebraic solution stand out!
Learners could follow-up with this harder problem, How Many Miles to Go?
Suggest making a table and tackle the problem using trial and improvement.