Four people must travel from one side of a bridge to the other. There is one flashlight among them. Anyone who travels across the bridge must use a flashlight. A maximum of two people can travel across the bridge at any particular time. The time it takes for each of the four people to travel over the bridge is 3, 5, 10, and 16 minutes, respectively. Given these conditions, construct a well organized and convincing argument in determining how it can be arranged such that it will take exactly 34 minutes for all four people to travel from one side of the bridge to the other.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Four people must travel from one side of a bridge to the other. There is one flashlight among them. Anyone who travels across the bridge must use a flashlight. A maximum of two people can travel across the bridge at any particular time. The time it takes for each of the four people to travel over the bridge is 3, 5, 10, and 16 minutes, respectively. Given these conditions, construct a well organized and convincing argument in determining how it can be arranged such that it will take exactly 34 minutes for all four people to travel from one side of the bridge to the other.

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