Crossing the River...

Logic Level 2

Four people need to cross a dark river at night.

  • They have only one torch and can't cross the river without a torch.
  • They can't all cross the river at the same time.
  • Only two people can cross the river at one specific time.
  • Speed of each person crossing the river is different.
  • Cross time for the 4 people is 1 minute , 2 minutes , 7 minutes , and 10 minutes .

What is the shortest time needed for all four of them to cross the river?

19 23 21 17

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2 solutions

Saya Suka
Apr 26, 2021

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

Rui Chang Lu
Mar 23, 2021

Explanation:

1 and 2 go cross 2 comes back 7 and 10 go across 1 comes back 1 and 2 go across (done)

Total time = 2 + 2 + 10 + 1 + 2 = 17 minutes

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