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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 2
Can you find the hidden country in the following paragraph:
As a keen photographer, I find the best way to capture the portrait of a gazelle is to stand well downwind. I also try to wear clothes which blend in with the background to reduce the chances of scaring the animal.
Hint: The country spans more than one word, and isn't in Europe.
Answer: India.
As a keen photographer, I find the best way to capture the portrait of a gazelle is to stand well downwind. I also try to wear clothes which blend in with the background to reduce the chances of scaring the animal.
Puzzle 3
How many squares have been placed in the drawing below?
In the solution below you can see 6 squares in the middle, with another 12 squares around the outside.
Puzzle 4
Can you find a five digit number which has no zeros no digit is repeated, where:
The first digit is a prime number.
The second digit is the fifth digit minus the first digit.
The third digit is twice the first digit.
The fourth digit is the third digit plus three.
The fifth digit is the difference between the first digit and the fourth digit.
Don't forget that 1 isn't prime, so 13,254 isn't allowed.
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