Why do this
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
You could introduce the problem to the class, and give them a
little bit of time to work in pairs to suggest ways it could be
tackled. Then come together again to share possible strategies and
discuss any difficulties that might arise.
Once students have had a chance to develop clear strategies
for working on the problem allow them some time in pairs to develop
and discuss their answers.
Allow some time for feed back at the end and to explore and
discuss both learners' methods and their answers.
Have you thought of making a table to show how long each man
Have you thought of making some algebraic equations from the
Is your strategy the quickest way to work out the
Learners could follow-up with this harder problem, How Many Miles to
Suggest making a table and tackle the problem using trial and
improvement. Alternatively, those who find the wordiness of the
problem an overwhelming difficulty could try Pyramids.