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Each term describes the previous one. We start with 0, which is one zero = 10. 10 is one one, one zero = 1110. 1110 is three ones, one zero = 3110, etc.

Puzzle 2

If you were to spell out the numbers in full, (One, Two, Three, etc), how far would you have to go until you found the letter 'A'?

[Ref: ZHVF]

Hint: Start counting now.

Answer: 101.

One hundred And one.

Unless you use American English when the answer becomes 1,000 = One thousAnd.

Puzzle 3

Peter decided to walk to the local waterfall, 10 miles away.

At the moment he started, his dog ran off from his side and proceeded to the waterfall at a constant 8 miles per hour.

As soon as the dog reached the waterfall, it started the return journey to Peter, keeping to the same speed.

The dog continued this odd behaviour until Peter reached the waterfall.

If Peter kept to a constant 4 miles per hour, how far did the dog run in total?

Answer: Here are the contents of the containers after each stage:

A B
0 7 fill B
3 4 fill A from B
0 4 empty A
3 1 fill A from B
0 1 empty A
1 0 fill A from B
1 7 fill B
3 5 fill A from B
0 5 empty A

This leaves 5 gallons in container B.

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