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Difficult donkey

By David, 5 February 2020 Brainteaser

Difficulty: Taxing

Darryl wants to ride his donkey from Alphaville to Betatown.

The donkey is always hungry and will only walk if Daryl keeps feeding her apples. She will eat one apple per kilometre they travel.

Darryl’s donkey can carry Darryl, Darryl’s luggage and 60 apples. Unfortunately, it’s 80 kilometres from Alphaville to Betatown.

Daryl has plenty of money to buy apples in Alphaville – he can buy hundreds if he needs them. But there’s nowhere to buy them between Alphaville and Betatown. Is there any way for him to complete his journey?

Scroll down or click for a hint, or the answer!


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Brainteaser hint

Darryl can hide some apples along the way!

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Brainteaser answer

It’s possible but it’ll take a few trips.

Darryl needs 20 more apples than the donkey can carry. If Darryl stashes 20 apples somewhere on the path, he can load up midway and keep going.

One solution is:

Load up with 60 apples at Alphaville, then ride 20 kilometres towards Betatown. Darryl now has 40 apples left. Hide 20 apples and then ride home to Alphaville.

Load up again with 60 apples, ride 20 kilometres and find the hidden apples. Darryl has 40 apples, and collects 20 more, making 60 in total. It’s now 60 kilometres to Betatown, so Darryl can ride straight there!

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