Before any changes I’m a garlic or spice. My first is altered and I’m a hand-warming device. My second is changed and I’m trees in full bloom. The next letter change makes a deathly old tomb. Change the fourth to make a fruit of the vine. Change the last for a chart plotted with lines. What was I? What did I become? What did I turn out to be?
You’re riding a horse. To the right of you is a cliff and in front of you is an elephant moving at the same pace and you can’t overtake it. To the left of you is a hippo running at the same speed and a lion is chasing you. How do you get to safety?
Two bikes are traveling toward each other at a constant speed of 10 mph. When the bikes are 20 miles apart, a bee flies from the front wheel of one of the bikes toward the other bike at a constant speed of 25 mph. As soon as it reaches the front wheel of the other bike, it immediately turns around and flies at 25 mph toward the first bike. It continues this pattern until the two bikes smush the bee between the two front tires.
The easiest way to think about this is to consider the time. The bikes will take 1 hour to touch, given that they start 20 miles apart and are each traveling toward each other at 10 mph.
Therefore the bee is buzzing back and forth at 25 mph for 1 hour.
A princess is as old as the prince will be when the princess is twice the age that the prince was when the princess’s age was half the sum of their present ages.
This one took a while to figure out and there are numerous valid ways of finding the answer.
Here is the solution I came up with
I created the following table from the riddle:
Current
Future
Past
Princess
x
2z
(x+y)/2
Prince
y
x
z
I then created three equations, since the difference in their age will always be the same. d = the difference in ages x – y = d 2z – x = d x/2 + y/2 – z = d
I then created a matrix and solved it using row reduction.
x
y
z
1
-1
0
d
-1
0
2
d
.5
.5
-1
d
It reduced to:
x
y
z
1
0
0
4d
0
1
0
3d
0
0
1
5d/2
This means that you can pick any difference you want (an even one presumably because you want integer ages). Princess age: 4d Prince age: 3d
Ages that work
Princess
Prince
4
3
8
6
16
12
24
18
32
24
40
30
48
36
56
42
64
48
72
54
80
60
To see other solutions check out the comments from when I posted this on my blog.
I am two-faced, but bear one head. Men spill their blood for me. I have no legs but travel widely. I make kings immortal. I am potent when shared, Yet lust for my power keeps me locked away.
Money (coins specifically). Coins have two faces, heads and tails. People fight for money, and money travels far and wide. Kings live on when they’re depticted on a coin. Sharing money with others is a meaningful experience yet many people keep their money locked up.
I’m built from anything you don’t like, You’re using me right now in fact, I am one but represent many, When attacked I’m easily cracked, I’m created in seconds but live forever And though you may not understand, I’ll help you do well but be careful my friend, Hurt me and you won’t withstand.
Kids are often told, when dealing with unpleasant things, that it builds character. You’re reading the characters this riddle is written with. In computer science a char is often represented by one byte and can store any character you want.
When politicians have their character besmirched it can swiftly change the voting public’s mind about them. Characters in novels are created with a few lines but live on in our memories. And if your character or reputation is damaged, you may find it hard to deal with the aftermath.
And here’s a great quote from Warren Buffet on your character.
“It takes 20 years to build a reputation and five minutes to ruin it. If you think about that, you’ll do things differently.” — Warren Buffet