Three 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 three people to travel over the bridge is 3, 4, and 7 minutes, respectively. Given these conditions, carefully explain how it can be arranged such that it will take exactly 14 minutes for all three people to travel from one side of the bridge to the next.

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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Three 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 three people to travel over the bridge is 3, 4, and 7 minutes, respectively. Given these conditions, carefully explain how it can be arranged such that it will take exactly 14 minutes for all three people to travel from one side of the bridge to the next.

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Step 1

Given information:

It is given that 3 people must travel from one side of a bridge to the other.

There is only one flashlight among the 3 people. Maximum of 2 people can only travel across the bridge using the flashlight at a particular time.

Consider the 3 people as X, Y and Z.

The time it takes for each of the 3 people to travel over the bridge is 3, 4 and 7 minutes.

 

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