A project has three possible paths from start to finish. Path A-B-C is 15 hours; path A-C-D is 10 hours, and path A-C-E is 20 hours. Which one of the following statements is true?
A) The expected duration of this project is 10 hours.
B) The expected duration of this project is 15 + 10 + 20 = 45 hours.
C) Path A-C-E is the critical path.
D) Path A-B-C has the most slack.

Question

Quizplus · Accepted Answer

The critical path is the longest path, which is A-C-E with a duration of 20 hours. Therefore, option C is the correct answer. Option A and B are incorrect because the expected duration is not necessarily equal to the sum of the durations of all paths or the duration of the shortest path. Option D is incorrect because slack refers to the amount of time a non-critical activity can be delayed without delaying the project, and it is not relevant to identifying the critical path.

A Project Has Three Possible Paths from Start to Finish