Three Coaches, Three Athletes and a River Puzzle - Solution

The Puzzle:

Three Coaches, Three Athletes and a River
There are three Athletes (Alex, Brook and Chris) and their individual Coaches (Murphy, Newlyn and Oakley) standing on the shore.

No Coach trusts their Athlete to be near any other Coach unless they are also with them.

There is a boat that can hold a maximum of two persons.

How can the six people get across the river?

Our Solution:

Alex and Brook cross, Alex returns
Alex and Chris cross, Chris returns
Coaches Murphy and Newlyn cross to join their Athletes
Brook and Newlyn return
Newlyn and Oakley cross, Alex returns

* All three Coaches are across

Alex and Brook cross, Coach Oakley returns
Chris and Coach Oakley cross.

See this puzzle without solution
Discuss this puzzle at the Math is Fun Forum