During a recent expedition, three intrepid adventurers were left stranded in the middle of the desert with only a crate full of apples.

During the night, Alan woke up and decided to hide his share of the apples and hid a third, then promptly fell asleep again.

Brian woke up shortly after and also decided to hide a third of the remaining apples and he also dozed back to sleep.

Finally, Charlie woke up and seeing the others were asleep, took a third of what was left.

Of course none of the adventurers knew of the other's antics, so, in the morning, they shared the remaining apples, each receiving sixteen. How many apples were in the crate originally?

Hint: In total how many chocolates are eaten each hour.

Answer: 2 hours.

In one hour, Fred eats 27 chocolates, Alice eats 12, and Kelly eats 21. A total of 60 chocolates. Therefore 120 chocolates would take 120 ÷ 60 = 2 hours. QED.

Puzzle 5

I want to travel 1,000 miles on an adult tricycle and I have two spare tyres.

However, I want to use all five tyres equally and have an equal mileage on each of the five tyres by the end of the trip.

Of course I can only use three tyres at a time, so I will have to change tyres during the trip.

At the end of the trip how many miles will each tyre have been used?

[Ref: ZDFX]

Hint: How many tyre miles have been travelled?

Answer: 600 miles.

A total of 1,000 miles have been travelled and at any one time, three tyres are travelling. Therefore 3,000 tyre miles have been travelled, which is shared equally by the 5 tyres. QED.

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