Thought I'd start a puzzle thread, puzzles can be enjoying.
Try to refrain from cheating, its not in the spirit of the game, and its better to work it out yourself.
The first puzzle (from a past exam paper)
1. There are two cities, X and Y on opposite sides of a lake. A boat leaves X heading for Y at the same time a boat leaves Y heading for X. They travel at constant but different speeds. The boats pass each other 500m from X. After reaching their destinations they turn around and head back to their original cities at the same speed. They pass each other again 300m from Y. How wide is the lake between X and Y?
When I found the answer to this, I didn't exactly use a formula, I drew the problem out on paper, and used a rather crude method of calculating the distance.
2. There are 4 cities. A, B, C and D. The cities are arranged in a square, 1Km apart. If you have to connect all the cities together with roads. What is the minimum amount of road required to connect the cities. Remember the most obvious solution may not be the best one. This one requires some optimization.
And if you can, show your working out.
Post new puzzles when we finish the last ones. and have fun.
Try to refrain from cheating, its not in the spirit of the game, and its better to work it out yourself.
The first puzzle (from a past exam paper)
1. There are two cities, X and Y on opposite sides of a lake. A boat leaves X heading for Y at the same time a boat leaves Y heading for X. They travel at constant but different speeds. The boats pass each other 500m from X. After reaching their destinations they turn around and head back to their original cities at the same speed. They pass each other again 300m from Y. How wide is the lake between X and Y?
When I found the answer to this, I didn't exactly use a formula, I drew the problem out on paper, and used a rather crude method of calculating the distance.
2. There are 4 cities. A, B, C and D. The cities are arranged in a square, 1Km apart. If you have to connect all the cities together with roads. What is the minimum amount of road required to connect the cities. Remember the most obvious solution may not be the best one. This one requires some optimization.
And if you can, show your working out.
Post new puzzles when we finish the last ones. and have fun.