Crossing the Bridge Puzzle

Crossing the Bridge 

In Crossing the Bridge Puzzle, a bridge will collapse in 17 minutes. 4 people want to cross it before it will collapse. It is a dark night and there is only one torch between them. Only two people can cross at a time. “A” takes a minute to cross. “B” takes 2 minutes, “C” takes 5 minutes and “D” takes 10 minutes. How do they all cross before the bridge cross?

Crossing the Bridge Puzzle

Solution

Here we have provided information for the solution of Crossing the Bridge Puzzle :

Time in which bridge will collapse = 17 mins

Number of people who wants to cross the bridge = 4 people

Number of the torch they have = 1

Time taken by A to cross the bridge = 1 minute

Time is taken by B to cross the bridge = 2 minutes

Time is taken by C to cross the bridge = 5 minutes

Time is taken by D to cross the bridge = 10 minutes

      Move                                 Time

 A & B Cross with torch                    2 min

 A return with torch                       1 min

 C & D Cross with torch                    10 min

 B return with torch                       2 min

 A & B cross with torch                    2  min

           Total time                                                   17 min

Detail Analysis

crossing the bridge puzzle detail analysis

A & B crosses the bridge in 2 mins and returns with the torch in 1 min, so the total time taken by now is 3 min. 

Time left before the bridge collapsed = 14 mins

Cross the bridge with detailed solution

C & D crosses the bridge in 10 mins and B returns with the torch in 2 mins, so the total time taken by now is 15 min. 

Time left before the bridge collapsed = 2 mins

Crossing the Bridge puzzle analysis

Now, A & B were only left out and the time left before the bridge collapsed in 2 min but the maximum time taken by A & B to cross the bridge is 2 mins as the time taken by A is 1 min and by B is 2 mins. 

Hence A, B, C, and D four will cross the bridge within 17 mins.

Crossing the Bridge 

In Crossing the Bridge Puzzle, a bridge will collapse in 17 minutes. 4 people want to cross it before it will collapse. It is a dark night and there is only one torch between them. Only two people can cross at a time. “A” takes a minute to cross. “B” takes 2 minutes, “C” takes 5 minutes and “D” takes 10 minutes. How do they all cross before the bridge cross?

Crossing the Bridge Puzzle

Solution

Here we have provided information for the solution of Crossing the Bridge Puzzle :

Time in which bridge will collapse = 17 mins

Number of people who wants to cross the bridge = 4 people

Number of the torch they have = 1

Time taken by A to cross the bridge = 1 minute

Time is taken by B to cross the bridge = 2 minutes

Time is taken by C to cross the bridge = 5 minutes

Time is taken by D to cross the bridge = 10 minutes

      Move                                 Time

 A & B Cross with torch                    2 min

 A return with torch                       1 min

 C & D Cross with torch                    10 min

 B return with torch                       2 min

 A & B cross with torch                    2  min

           Total time                                                   17 min

Detail Analysis

crossing the bridge puzzle detail analysis

A & B crosses the bridge in 2 mins and returns with the torch in 1 min, so the total time taken by now is 3 min. 

Time left before the bridge collapsed = 14 mins

Cross the bridge with detailed solution

C & D crosses the bridge in 10 mins and B returns with the torch in 2 mins, so the total time taken by now is 15 min. 

Time left before the bridge collapsed = 2 mins

Crossing the Bridge puzzle analysis

Now, A & B were only left out and the time left before the bridge collapsed in 2 min but the maximum time taken by A & B to cross the bridge is 2 mins as the time taken by A is 1 min and by B is 2 mins. 

Hence A, B, C, and D four will cross the bridge within 17 mins.

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