Christmas Puzzles
Christmas Puzzles
At my job, my department (some guy called Aiden) sent out some Christmas puzzles to work through.
*******Christmas Puzzles********
100 Coins:
You have 100 coins. 10 are heads. 90 are tails. you cannot look/feel to see which way up the coins are. How do you divide them into two piles, each with the same number of heads showing in them?
Truck Travel:
You have 5 trucks. Each truck has a tank of 100 litres of fuel. it also has a spare tank of 100 litres. A truck can do 10 miles on a litre of fuel.
You need to transport someone along a road just using the trucks. Fuel can be transferred at will between the trucks. How far can you get? How do you do it?
Clocks:
How many times in a day do an analogue clock's hands overlap?
***************
I’ve had a play around, and my answers to the puzzles are as follows:

100 coins:
take 10 coins from the 100coinpile, flip those 10 coins, and then set them as the new pile. Each pile has the same number of heads.

Truck Travel:
If the 5 trucks each start wtih 100L of fuel, then the person can be transported 3333 miles. If the 5 trucks each start with 200L of fuel, then the person can be transported 4566.6 recurring miles.

Clocks:
An analogue clock's hands overlap 22 times in a day.
I have no idea if these are the right answers, I look forward to talking about them with my work pals when I get back.
You can see my workings in the following blogs: