Thinking Thursday #6 Answer

OK, so last Thursday I posed the following problem from Alcuin of York:

A man has to take a wolf, a goat and a bunch of cabbages across a river. The only boat available can accommodate just two of them at a time. It is well known that if left alone together the goat would eat the cabbages, and the wolf would eat the goat; but the man has been ordered to transfer all of them to the other side dry and in good condition. How can he achieve this?

So this is how the man did it …

First take the goat across and leave the wolf and the cabbages behind. Then return (empty) and take the wolf across. Having put the wolf on the other side, take the goat back over (remember, you can’t leave it with the wolf!). Leaving the goat on the near side, take the cabbages across. Then you can return (empty, again) and having picked up the goat take it over once more. You should now have everyone on the far bank, safe and well, and you’ve had some healthy rowing.

How many of you worked that out? Good, well done.
Now the remaining challenge is to return the boat to it’s starting point. Bright ideas on how to do that — without getting wet or damaging your charges?
If you want to know more about Alcuin’s puzzles then Can You Solve Alcuin’s Puzzles? is a good starting point.