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Hint: How many miles were left at the start of yesterday?
Answer: 336 miles.
On the first day I travelled one quarter of the distance (84, leaving 252). On day two, I travelled one half of the remaining distance (126, leaving 126). On day three, I travelled three quarters of the remaining distance (94.5, leaving 31.5). Yesterday I travelled one third of the remaining distance (10.5). I now have 21 miles left to travel.
To work these numbers out, it is easiest to start at the end and work backwards.
Yesterday I travelled 1÷3 of the distance to leave 21 miles, therefore there were 31.5 miles (=21 x 3÷2) at the start of yesterday.
On day 3 I travelled 3÷4 of the distance to leave 31.5 miles, therefore there were 126 miles (=31.5 x 4) at the start of day 3.
On day 2 I travelled 1÷2 of the distance to leave 126 miles, therefore there were 252 miles (=126 x 2) at the start of day 2.
On the first day I travelled 1÷4 of the distance to leave 252 miles, therefore there were 336 miles (=252 x 4÷3) at the start of the first day.
Puzzle 31
Using only horizontal and vertical lines, connect every number to its pair (i.e. 1 goes to 1, 2 goes to 2, etc). The lines must not cross each other. This puzzle is not interactive, but can be printed off and solved.
Behind 1 door is a coffer overflowing with jewels and gold, along with an exit. Behind the other door is an enormous, hungry lion that will pounce on anyone opening the door.
You do not know which door leads to the treasure and exit, and which door leads to the lion.
In the room you are in are 2 individuals. The first is a knight, who always tells the truth, and a knave, who always lies.
Both of these individuals know what is behind each door. You do not know which individual is the knight, or which one is the knave.
You may ask one of the individuals exactly 1 question.
What should you ask in order to be certain that you will open the door with the coffer behind it, instead of the hungry lion?
[Ref: ZQJM]
Hint: This will require logical thinking.
Answer:
You ask one of the individuals what the other one would say if you asked him which door is holding back the hungry lion and then open this door.
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