Can you solve the bridge riddle? - Alex Gendler

21,553,236 views ・ 2015-09-01

TED-Ed


Please double-click on the English subtitles below to play the video.

00:09
Taking that internship in a remote mountain lab
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might not have been the best idea.
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Pulling that lever with the skull symbol just to see what it did
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probably wasn't so smart, either,
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but now is not the time for regrets
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because you need to get away from these mutant zombies fast.
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With you are the janitor, the lab assistant, and the old professor.
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You've gotten a headstart, but there's only one way to safety:
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across an old rope bridge spanning a massive gorge.
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You can dash across in a minute,
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while the lab assistant takes two minutes.
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The janitor is a bit slower and needs five minutes,
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and the professor takes a whole ten minutes,
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holding onto the ropes every step of the way.
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By the professor's calculations,
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the zombies will catch up to you in just over 17 minutes,
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so you only have that much time to get everyone across and cut the ropes.
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Unfortunately, the bridge can only hold two people at a time.
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01:13
To make matters worse,
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it's so dark out that you can barely see,
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and the old lantern you grabbed on your way only illuminates a tiny area.
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Can you figure out a way to have everyone escape in time?
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Remember: no more than two people can cross the bridge together,
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anyone crossing must either hold the lantern or stay right next to it,
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and any of you can safely wait in the dark on either side of the gorge.
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Most importantly, everyone must be safely across before the zombies arrive.
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Otherwise, the first zombie could step on the bridge while people are still on it.
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Finally, there are no tricks to use here.
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You can't swing across,
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use the bridge as a raft,
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or befriend the zombies.
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Pause the video now if you want to figure it out for yourself!
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02:01
Answer in: 3
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Answer in: 2
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Answer in: 1
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At first it might seem like no matter what you do,
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you're just a minute or two short of time, but there is a way.
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The key is to minimize the time wasted by the two slowest people
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by having them cross together.
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And because you'll need to make a couple of return trips with the lantern,
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you'll want to have the fastest people available to do so.
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So, you and the lab assistant quickly run across with the lantern,
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though you have to slow down a bit to match her pace.
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After two minutes, both of you are across,
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and you, as the quickest, run back with the lantern.
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02:41
Only three minutes have passed.
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So far, so good.
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Now comes the hard part.
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The professor and the janitor take the lantern and cross together.
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This takes them ten minutes
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since the janitor has to slow down for the old professor
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who keeps muttering
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that he probably shouldn't have given the zombies night vision.
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By the time they're across, there are only four minutes left,
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and you're still stuck on the wrong side of the bridge.
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But remember, the lab assistant has been waiting on the other side,
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and she's the second fastest of the group.
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So she grabs the lantern from the professor
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and runs back across to you.
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Now with only two minutes left, the two of you make the final crossing.
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As you step on the far side of the gorge,
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you cut the ropes and collapse the bridge behind you,
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just in the nick of time.
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Maybe next summer, you'll just stick to the library.
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