Can you find the country hidden 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 that blend in with the background to reduce the chances of scaring the animal.
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 that blend in with the background to reduce the chances of scaring the animal.
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Puzzle 2
In the illustration we have a sketch of Sir Edwyn de Tudor going to rescue his love, who was held captive by a neighbouring wicked baron.
Sir Edwyn calculated that if he rode at fifteen miles an hour he would arrive at the castle an hour too soon, while if he rode at ten miles an hour he would get there just an hour too late.
Now, it was of the first importance that he should arrive at the exact time appointed, in order that the rescue that he had planned should be a success, and the time of the tryst was five o'clock, when the captive would be taking afternoon tea.
The puzzle is to discover exactly how far Sir Edwyn de Tudor had to ride.
Sir Edwyn De Tudor, Amusements In Mathematics, Henry Ernest Dudeney.
If Sir Edwyn left at noon and rode 15 miles an hour, he would arrive at four o'clock, which is an hour too soon. If he rode 10 miles an hour, he would arrive at six o'clock, which is an hour too late. But if he went at 12 miles an hour, he would reach the castle of the wicked baron exactly at five o'clock, which is the time appointed.
The text above is the answer given in the book, and below is a method of finding the answer.
If we call the distance to the castle, D and use the fact that Time = Distance ÷ Speed, we have:
Travelling at 15 mph:
Time1 = D ÷ 15 (an hour too soon)
Travelling at 10 mph:
Time2 = D ÷ 10 (an hour too late)
The time gap between these two times is 2 hours, therefore
Freddie was in love with three girls. He couldn't decide who he wanted to give his heart to, so he sent all three a Valentine's card. But poor Freddie was out of luck, as each girl thought the card came from someone else and Freddie was left on the sideline.
From the clues below, can you work out the name of each potential sweetheart, the colour of each card Freddie sent and the name of the boy each girl believed the card was sent by?
Unluckily for Freddie, when Miss Jetson received her card, she thought it was from Adam. When Molly received her blue coloured card, she told Miss Hanson, and together they worked out who the card was from. It didn't occur to either of them that it was from Freddie! The girl who received the red card was convinced it came from Ethan. Neither Millie nor Miss Motson received a pink card.
First Names: Lily, Millie, Molly
Surnames : Hanson, Jetson, Motson
Colours : Blue, pink, red
Boys : Adam, Dylan, Ethan
Hint
Start by using (2) and (4) to find who received the pink card.
Answer
Lily Jetson Pink Adam
Millie Hanson Red Ethan
Molly Motson Blue Dylan
Reasoning
By (2), Molly received the Blue card:
Lily
Millie
Molly Blue
We now know that Molly didn't receive the Pink card, and by (4), neither did Millie, which means that Lily received the Pink card (and Millie received the Red):
Lily Pink
Millie Red
Molly Blue
By (4), the two girls who didn't receive the Pink card are Millie and Miss Motson, and we already know that Millie and Molly didn't receive the Pink Card, which means that Molly is Miss Motson.
Lily Pink
Millie Red
Molly Motson Blue
By (3), the Red card was thought to have come from Ethan:
Lily Pink
Millie Red Ethan
Molly Motson Blue
By (1), Miss Jetson's card was thought to have come from Adam, this can't be Molly (Motson), nor Millie (Ethan). So it must be Lily Jetson:
Lily Jetson Pink Adam
Millie Red Ethan
Molly Motson Blue
The puzzle can now be completed:
Lily Jetson Pink Adam
Millie Hanson Red Ethan
Molly Motson Blue Dylan
??
Puzzle 4
What four-digit number has Digit 1 three smaller than Digit 4, which is one more than Digit 2, which is twice Digit 3, which is one more than one third of Digit 4?