Q. Find out the minimum time (in Days) for the completion of the project .

Q. Find out the minimum time (in Days) for the completion of the project.

Sol: 

This is a simple problem, 

here, the longest duration path will give you that minimum time for completion of the project, and that path is also called a critical path. 

So, critical path duration is the minimum time for project completion.

Step 1:

find out the possible paths 

So, the following paths are possible 

                        

                        A-B-C-E-F-J-K-L                 = Tota Duration = 1+7+30+25+7+7+3+1= 81 Days 

                        A-B-C-Dummy-G-H-I-K-L  = Tota Duration = 1+7+30+25+7+7+3+1= 81 Days 

                        A-B-D-G-H-I-K-L                = Total Duration = 1+7+45+25+7+7+3+1= 96 Days 

Step 2:

So, here you can see that in path A-B-D-G-H-I-K-L, the time required to complete the project is maximum, so it is the critical path.

Step 3 :  

Hence, the minimum time required to complete the project is 96 days. 

Answer b is correct.