Rickety Bridge

Logic Level 2

Four people need to cross a rickety bridge at night.Unfortunately,they have only one torch and the bridge is too dangerous to cross without one.The bridge is only strong enough to support two people at a time.Not all people take the same time to cross the bridge.Times for each person:1min,2mins,7mins and 10mins.

What is the shortest time needed for all four of them to cross the bridge? (NOTE: If it is 20 mins type 20)


The answer is 17.

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3 solutions

Nikkil V
Feb 24, 2016

17 mins

(i) 1 and 2 go across = 2 mins (ii) 2 comes back = 2 mins (iii) 7 and 10 go across = 10mins (iv) 1 comes back = 1 min (v) 1 and 2 go across = 2 mins That's all! Total time = 17 mins

You should mention that if two persons move together then they go at the speed of the slower of the two. Otherwise if you go by the wordings in the question then the correct answer is 30 minutes.

Siva Bathula - 5 years, 3 months ago

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We have to understand it. It is the logic here

Nikkil V - 5 years, 3 months ago
Saya Suka
Apr 26, 2021

Answer
= ceiling[1,2] + 1 + ceiling[10,7] + 2 + ceiling[1,2]
= 2 + 1 + 10 + 2 + 2
= 17 minutes


Jaimin Pandya
May 25, 2016

https://www.youtube.com/watch?v=7yDmGnA8Hw0

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