After trying to solve the puzzle,I still didn't manage to succeed so i checked the tips and solution to solve the puzzle.Even though,I saw the solution,I understand why and how to solve the problem.First Step is to put the 3 minutes and 1 minute people to the left side of the cliff.Bring the 1 minute person back to right side of the cliff.Next step is to bring the 8 and 12 minutes people to the left side of the cliff or the 6 minutes person, so you can choose who you would like to bring to left side of the cliff first.I chose the 8 minutes and 12 minutes people to cross to the left side of the cliff.Crossing the bridge with them would take 12 minutes,so far with have wasted 14 mins of the lamp life.At the left side with still have the 3 minutes guy,the fastest person among the people at the left side of the cliff,the next step is to bring to the right side of the cliff.This will waste 3 minutes of the lamp life.The next step is to bring the 1 minute and the 6 minutes people to the left side of the cliff.This will take 6 minutes to cross the bridge. 11 minutes of lamp life is left. Once again since the 1 minute guy is the fastest he must cross the bridge to the right side of the bridge.And the last step is to bring the one minute guy and the three minutes guy to the left side of the cliff.After solving,i tried thinking of vice versa ways to solve some of the steps.I found out the first step,you can either bring back the 3 minutes guy and 1 minute guy back to the right side of the cliff but if you have brought the 3 minutes guy back to the right side of the cliff,you have to change some of the step.Some of the mathematical knowledge and skills you must apply to solve the problem is reasoning,communication and connections,thinking skills and heuristics and perseverance .
KennethSo, you are quite resourceful :)On the other hand, this problem actually has more than one possible solution. After knowing the trick, think through again to see what are other possible alternatives :)
I found out that you can also start with the 1 minute guy and 6 minutes people and 8 minutes and 12 minutes people must always be together or else you would just be wasting 20 minutes of lamp life
And you must only start with 1 and either 3 or 6
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first the no. 1 and 3 go to the other side then no. 1 go back after no. 1 go back no.8 and 12 go to the other side.then no. 3 goes back.o. 1 and 6 will go to where the no. 8 and 12 is and the no. 1 returns to where the no. 3 is then both the no. 1 and 3 go to the other side