Riddles (3 pi each)

1. A ladder hangs over the side of a ship anchored in port. The bottom rung of the ladder touches the water. The distance between rungs is 30cm, and the length of the ladder is 270cm. If the tide is rising at a rate of 15cm per hour, how long will it be before the water reaches the top rung?

2. When I take five and add six, I get eleven, but when I take six and add seven, I get one. What am I?

3. A three-letter word I'm sure you know, I can be on a boat or a sleigh in the snow, I'm pals with the rain and honor a king, But my favorite use is attached to a string. What am I?

1. Seen it on here a while ago, so I will not answer again.

3. a bow

2. a clock

1. A couple observations: 

a). tides don't rise for 18 hours straight.

b). When the water goes up, the ship goes up with it unless it is anchored WAY too securely.

c). If the tide's coming in at that rate, the waves will splash against and rock the ship and will vary how far the ladder goes down by a few rungs. It's not actually reasonable to measure exactly how far below the top of the ladder the water line is.

Long story short, the water isn't going to come to the top of the ladder, assuming it is secured properly.

2. You're a cyclic group of order 12.

3. createsure, good job! Very clever solution.

LOL at your answer for 2.

And thanks!

Answers: 

1. The ship will rise with the tide, so the water will always remain level with the first rung.

2. Clock

3. Bow

Give yourself the pi needed!