# 4 Person Bridge Crossing Puzzle | MindYourLogic Bridge Crossing Puzzle

The Bridge and Torch Problem is a classic puzzle involving four individuals who must cross a narrow bridge at night using a single torch. The bridge can hold a maximum of two people at a time, and the torch is essential for crossing as it’s dark. Each person walks at a different speed, which adds complexity to the problem. The objective is to find the optimal strategy to get all four individuals across the bridge in the least amount of time. For this scenario, the minimum time required to get everyone across is 17 minutes.

Conditions:

Crossing Times:

Alice: 1 minute
Bob: 2 minutes
Carol: 5 minutes
Dave: 10 minutes

Rules:

The bridge can hold a maximum of two people at a time.
The torch must be carried by those crossing the bridge.
The torch must be returned to the starting side if needed for the next crossing.
Objective:

To determine the minimum time required for all four people to cross the bridge.

English riddle ad - 1

Steps to Cross the Bridge in Minimum Time:

First Crossing:

Alice and Bob cross the bridge together with the torch. Since Bob is slower, the crossing takes 2 minutes.
Total time elapsed: 2 minutes.

Torch Return:

Alice returns with the torch to the starting side. This takes 1 minute.
Total time elapsed: 3 minutes.

English riddle ad - 2

Second Crossing:

Carol and Dave cross the bridge together with the torch. Since Dave is slower, the crossing takes 10 minutes.
Total time elapsed: 13 minutes.

Torch Return:

Bob returns with the torch to the starting side. This takes 2 minutes.
Total time elapsed: 15 minutes.

Final Crossing:

Alice and Bob cross the bridge together again with the torch. This takes 2 minutes.
Total time elapsed: 17 minutes.
Conclusion:
By following this strategy, all four individuals—Alice, Bob, Carol, and Dave—can successfully cross the bridge in a total of 17 minutes. The approach involves careful planning and strategic management of the torch to minimize the total crossing time. Efficient pairing of individuals, especially considering the slower individuals, is key to achieving the optimal solution.

Total Time to Complete the Task:

The task is completed in 17 minutes, which is the minimum time required given the constraints and the differing speeds of the individuals. This solution illustrates the importance of strategic planning in solving complex problems with multiple constraints.

English riddle ad - 3

Conclusion:
By following this strategy, all four individuals—Alice, Bob, Carol, and Dave—can successfully cross the bridge in a total of 17 minutes. The approach involves careful planning and strategic management of the torch to minimize the total crossing time. Efficient pairing of individuals, especially considering the slower individuals, is key to achieving the optimal solution.

Total Time to Complete the Task:

The task is completed in 17 minutes, which is the minimum time required given the constraints and the differing speeds of the individuals. This solution illustrates the importance of strategic planning in solving complex problems with multiple constraints.

## river crossing puzzles

Anshul Khandelwal 2023-09-12

## River Crossing Puzzle | Farmer, Goat, Wolf and Cabbage Cross A River Answer

Join the fun with our viral River Crossing Puzzle challenge! Help the farmer, wolf, goat, and cabbag...

Anshul Khandelwal 2023-09-13

## River Crossing Puzzle | The Three Missionaries And Three Cannibals Puzzle

Solve the The Three Missionaries and Three Cannibals Puzzle River Crossing Puzzle. We have given the...

Anshul Khandelwal 2023-09-14

## Couples Crossing The River Puzzle | River Crossing Puzzle

Can you solve the jealous husbands river crossing puzzle. This puzzle is also called couple crossing...

Lipika Lajwani 2024-9-9

## A farmer, chicken, a bag of grain, and a fox river crossing puzzle | MindYourLogic River Crossing Pu

Solve the classic river crossing puzzle: a farmer must transport a chicken, grain, and a fox across ...

Lipika Lajwani 2024-8-10

## River Crossing puzzle: How Three Thieves Safely Transport Their Stolen Gold | MindYourLogic River Cr

Solve how three thieves can safely cross a river with their stolen gold using a clever strategy. Dis...