k-man

The thing about the space travel is that it doesn't require fuel to cover the distance. The fuel is required to break free of the gravity and to establish the direction and speed. Once you're far enough from any large celestial bodies you can cover arbitrarily large distances without any fuel consumption. So the fuel consumption is not proportionate to the distance, but is proportionate to the masses of the celestial bodies you're launching from or you're in gravitational field of. Anyway, assuming that the fuel is consumed at a constant rate for the distance travelled I have a couple of questions: 1) Does the spaceship that reaches Mars also have to return to the station? 2) Can the spaceships that return to the base be used again, and if so, then do we count the number of spaceships used or do we count the number of spaceship launches?

I don't know about the mathematical explanation, but there is an obvious practical one.

Not sure if I'm understanding the puzzle correctly, but the way I see it is there is a point inside the square with given distances to three corners of the square. Find the area of the square. If that is the puzzle then the answer is

Welcome to the Den, tammie! Please use spoilers when posting answers. To add a spoiler to your reply you can use the "S" button above the reply box. If the button doesn't work or if you're posting from a mobile device you can enclose the text you want hidden in the spoiler tags: [ spoiler=visible text]hidden text I put a space in the first tag, so that it doesn't get recognized. Without the space it will turn into this:

Nice "out of the box" solution, tammie. Good thinking!

This has already been posted and solved here

I think I get what you were trying to say. Brunson's fence forms straight lines with other fences, so essentially the puzzle is

Ok, so then the Brunson's fence cannot be straight. Did you mean that it consists of 2 straight sections?

Are the roads supposed to be straight?

hey man can you tell me how you worked out that the angle between alpha and beta should be 120 degrees .i just acant understand..Thanks I knew someone would ask that question It was a little messy and maybe not in the most efficient way, but...

I suspect, your suspicion is correct. That's the same reference weight that I found. There is a certain criteria for it. Rather than enumerating all different cases, I invite all participants to try and find cases, which would be indistinguishable with this reference weight. K-man came close to the solution and was the first to "think outside the box", Doh! Thanks, Prime.

I suspect, your suspicion is correct. That's the same reference weight that I found. There is a certain criteria for it. Rather than enumerating all different cases, I invite all participants to try and find cases, which would be indistinguishable with this reference weight. K-man came close to the solution and was the first to "think outside the box",

Ahh... never mind. back to the drawing board

Y-san, can you clarify the "number of encounters b/w zombies and humans is proportional to the product of their proportions", please?

Sure. There are an infinite number of tie points. Do you want a general equation? Do you want the tie point for max or min? Something other? A simple range of values would suffice so that i know the potential roaming of my dog. Bonanova provided the range in his first post. I came up with the same numbers too. Do you have a different answer?