Burning Rope Problem

I d seen some of these problems before and i didn t have the time to work through the unfamiliar ones but my favorite was the very first question.

Burning rope problem.

For an average sized person jumping rope might even burn more than 10 calories a minute. After 30 minutes rope 1 is completely burnt and rope 2 still has 30 minutes worth of burning time in it. But either rope has different densities at different points so there s no guarantee of consistency in the time it takes different sections within the rope to burn. At this point burn the rope 2 at the remaining end and it will burn off completely in 15 mins.

There are two ropes each rope takes 1 hour to burn. First lit rope 1 in both ends and one end of rope 2. We have two ropes and a lighter with us. This will burn the remaining rope in 15 minutes totaling the burning time to 45 minutes.

A man has two ropes of varying thickness those two ropes are not identical they aren t the same density nor the same length nor the same width. First rope second 30 mins second rope 15 mins 45 mins. Last week abbas raza of 3 quarks daily posed a list of logic problems to the site s readers. Posted by jason kottke nov 22 2006.

Each rope burns in 60 minutes. Rope 2 would also burn to a point where only 30 mins are left for it to burn completely. So the total time can be calculated like below. If we ignite a rope at one end then it takes exactly one hour to completely burn.

Also the rope does not burn uniformly means one half of the rope may burn in let s say 10 mins while other half may take remaining 50 mins to burn. How can he measure 45 mins using only these two ropes. By the time rope one burns it will be 30 mins. The warming sun the cooling rain the snowflake drifting on the breath of the breeze the lightning bolt that frees the sky for you yet only eagles seem to.

He can t cut the one rope in half because the. Jumping rope can be a part of a diet and. Rope burning logic problem. You have two ropes coated in an oil to help them burn.

But jumping rope alone won t be enough to help you lose weight. However the ropes do not burn at constant rates there are spots. Each rope will take exactly 1 hour to burn all the way through. Let s first see the problem statement.