crossing the bridge puzzle

+ C & D cross the bridge and they took 10 min. + not C or D, so A and B, must cross together first. Times for each person: 1 min, 2 mins, 7 mins and 10 mins. This gives us, B+A+D+B+B = 2+1+8+2+2 = 15. Assume that a solution minimizes the total number of crossings. So it is not possible for the two slowest (C & D) to cross separately. Tuesday, Thursday what are other two days staring with T? First, we show that if the two slowest persons (C and D) cross separately, they accumulate a total crossing time of 15. And finally A and B cross together to make it 17 minutes! To find the correct solution, one must realize that forcing the two slowest people to cross individually wastes time which can be saved if they both cross together:[4].

C It turned out ... A murderer is condemned to death. {\displaystyle \min(2A+B+C+D,A+3B+D)}. “B” takes 2 minutes. How do they all cross before the bridge … + Solve this logic sequence puzzle by the correct digit- 8080 = 6 1357 = 0 2022 = 1 1999 = ... A man leaves his house in the morning to go to office and kisses his wife. B returned and he took 2 min. 2 D , Solve this logic sequence puzzle by the correct digit- 8080 = 6 1357 = 0 2022 = 1 1999 = ... A man leaves his house in the morning to go to office and kisses his wife.

Which clock works best? ... Ragib: I got digits of a 2 digit number Sakib: Is it an odd? + [6][7] In all these variations, the structure and solution of the puzzle remain the same. First Assume that A takes 1 min., B takes 2 min, C takes 5 min and D takes 10 min. Learn how and when to remove this template message, "Some simple and not so simple maths problems", https://en.wikipedia.org/w/index.php?title=Bridge_and_torch_problem&oldid=984520855, Articles needing additional references from July 2014, All articles needing additional references, Wikipedia articles needing clarification from May 2020, Creative Commons Attribution-ShareAlike License, Paper discussing the Capacity C Torch Problem, Ted Ed Video and Exercise Based on Bridge and Torch Problem, Paper discussing A Systematic Solution to the Bridge Riddle using Combinatorics, This page was last edited on 20 October 2020, at 14:43. The question is, can they all get across the bridge if the torch lasts only 15 minutes? Basically, the two fastest people cross together on the 1st and 5th trips, the two slowest people cross together on the 3rd trip, and EITHER of the fastest people returns on the 2nd trip, and the other fastest person returns on the 4th trip. ( The one that loses a minute a day or the one that doesn’t work at all? < “C” takes 5 and “D” takes 10 minutes. He has to choose between three rooms. B

[4], Martin Erwig from Oregon State University has used a variation of the problem to argue for the usability of the Haskell programming language over Prolog for solving search problems.[8]. It is in the category of river crossing puzzles, where a number of objects must move across a river, with some constraints. In this version of the puzzle, A, B, C and D take 5, 10, 20, and 25 minutes, respectively, to cross, and the time limit is 60 minutes. Nabila got ... Robi is a very serious student. then B crosses back over making it 15 minutes. 4 people want to cross it before it will collapse. people – p1 p2 p7 p10 (number denotes time taken for crossing), p1, p2 start journey to cross towards b2 from b1 (p1 has the torch), p1 reaches b2 and starts back towards b1. In the evening on ... Jasmine, Thibault, and Noah were having a night out and decided to order a pizza for $10. On the first day of this year his seriousness for study was 1 hour. C p10 reaches b2 The result of math class test came out. + The puzzle is also mentioned in Daniel Dennett's book From Bacteria to Bach and Back as his favorite example of a solution that is counter-intuitive.

In the case where there are an arbitrary number of people with arbitrary crossing times, and the capacity of the bridge remains equal to two people, the problem has been completely analyzed by graph-theoretic methods.

By clicking "Sign up" you indicate that you have read and agree to the privacy policy and terms of service. “A” takes a minute to cross. (p7 has the torch), p2 in b2

“B” takes 2 minutes. p7 reaches b2 Ragib: Yes. “A” takes a minute to cross. A and B cross first using up 2 minutes.

A & B cross the bridge they took 2 min. But, the time has elapsed and person A and B are still on the starting side of the bridge and must cross. then B crosses back over making it 15 minutes.

A returned and he took 1 min. When two people cross the bridge together, they must move at the slower person's pace. (Here we use A because we know that using A to cross both C and D separately is the most efficient.) Only two people can cross at a time. Thus the minimum time for four people is given by the following mathematical equations: Each coin weights 10 gms. This strategy makes A the torch bearer, shuttling each person across the bridge:[4], This strategy does not permit a crossing in 15 minutes. A Which clock works best?

A

... Two fathers took their sons to a fruit stall. < p2 reaches b1 Then, A must cross next, since we assume we should choose the fastest to make the solo-cross. There are 10 stacks of 10 coins each. + min There are 10 stacks of 10 coins each. 3 Most Analytical GOOGLE INTERVIEW Question Revealed. Also, it is impossible for them to cross together last, since this implies that one of them must have crossed previously, otherwise there would be three persons total on the start side. And finally A and B cross together to make it 17 minutes!

He has to choose between three rooms. Srabon got a prime!! A and B cross first using up 2 minutes. How do they all cross before the bridge collapses? Not all people take the same time to cross the bridge. Remember our assumption at the beginning states that we should minimize crossings and so we have five crossings - 3 pair-crossings and 2 single crossings. The bridge and torch problem (also known as The Midnight Train and Dangerous crossing ) is a logic puzzle that deals with four people, a bridge and a torch. B Person A can cross the bridge in 1 minute, B in 2 minutes, C in 5 minutes, and D in 8 minutes.

Unfortunately, they have only one torch and the bridge is too dangerous to cross without one. [5] The torch itself may expire in a short time and so serve as the time limit. ... Ragib: I got digits of a 2 digit number Sakib: Is it an odd?

I can remember only two of them as “Tuesday , Thursday”. Hence, they will cross separately. Second, we show that in order for C and D to cross together that they need to cross on the second pair-cross: i.e. D p10 in bridge (7 mins into the journey), p7 in b2

p10 in bridge(9 mins) p2 in bridge (1 min) (has the torch) Paul, Sam and Dean are assigned the task of figuring out two numbers. D A comes back making it 3 We found another interesting puzzle for YOU-, Brain Development by Crazy Brain Teasers & Puzzles, Funny optical illusions to puzzle you and tease your brain, 1 to 50 Brain concentration level and focus on target Test, http://puzzlefry.com/puzzles/crossing-the-bridge-puzzle-bridge-and-torch-problem-2/, Five greedy pirates and gold coin distribution Puzzle. B The pirates are all ... Four days are there which start with the letter ‘T‘. A Ragib: Yes. The puzzle is known to have appeared as early as 1981, in the book Super Strategies For Puzzles and Games. The pirates are all ... Four days are there which start with the letter ‘T‘. But then C or D must cross back to bring the torch to the other side, and so whoever solo-crossed must cross again. A second equivalent solution swaps the return trips. It is in the category of river crossing puzzles, where a number of objects must move across a river, with some constraints. This is done by taking persons A, C, & D: C+A+D+A = 5+1+8+1=15. {\displaystyle \min(B+A+C+A+D,B+A+D+B+B)} On the first day of this year his seriousness for study was 1 hour. C and D cross making it 13 minutes p7, p10 start towards b2. B Most Analytical GOOGLE INTERVIEW Question Revealed. + Several variations exist, with cosmetic variations such as differently named people, or variation in the crossing times or time limit. Not all people take the same time to cross the bridge. D When do we call “10” while looking at number “2”? (has the torch) On National Puzzle Day 2018 For the brightest brains out …, The following techniques shown below are indicative of a way …, Riddles and brain teasers excites the brain and force it …, The brain like every cell in the body is alive …, Mathematical puzzles or math puzzles are based on logics and …, Here is the collection of most mind blowing and brain …. Assumption: A person carrying the torch illuminates the whole bridge. C

Each man and son bought an apple, But when they returned ... A farmer is taking her eggs to the market in a cart, but she hits a  pothole, which knocks over ... Let it be simple and as direct as possible. DUPLICATE – http://puzzlefry.com/puzzles/crossing-the-bridge-puzzle-bridge-and-torch-problem-2/, SOLUTION- http://puzzlefry.com/puzzles/crossing-the-bridge-puzzle-bridge-and-torch-problem-2/.

Paul, Sam and Dean are assigned the task of figuring out two numbers.

Puzzle: Four people need to cross a rickety bridge at night. Times for each person: 1 … The bridge is only strong enough to support two people at a time.

+ Then we choose to send the fastest back, which is B. In the evening on ... Jasmine, Thibault, and Noah were having a night out and decided to order a pizza for $10. Nabila got ... Robi is a very serious student. Four people need to cross a rickety bridge at night. Assume that C and D cross first. I can remember only two of them as “Tuesday , Thursday”. A bridge will collapse in 17 minutes. First A & B cross the bridge and they took 2 min The first is full of raging fires, ... Richie established a very strange number system. Unfortunately, they have only one torch and the bridge is too dangerous to cross without one.

+ [3], Four people come to a river in the night. The first is full of raging fires, ... Richie established a very strange number system. It turned out ... A murderer is condemned to death. [2], An obvious first idea is that the cost of returning the torch to the people waiting to cross is an unavoidable expense which should be minimized. p1 in b1, p7 in b2

D + Putting all this together, A and B must cross first, since we know C and D cannot and we are minimizing crossings. B We found another interesting puzzle for YOU-, Brain Development by Crazy Brain Teasers & Puzzles, Funny optical illusions to puzzle you and tease your brain, 1 to 50 Brain concentration level and focus on target Test, Five greedy pirates and gold coin distribution Puzzle. B The bridge is only strong enough to support two people at a time. Four people need to cross a rickety bridge at night.

Send A to get the torch and bring it back : time taken – 2 min (to & fro), Now A & B can go together : time taken- 2, A would not be Able to go to bring the torch in complete DARK without torch. “C” takes 5 They have one torch and, because it's night, the torch has to be used when crossing the bridge. A and B are now on the start side and must cross for the last pair-crossing. B

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