To calculate the duration of each path, you can simply add the duration of each activity in each path. For Path 1, you get:
Duration for Path 1 = Duration of Start + Duration of Purchase Plot + Duration of Select Design + Duration of Purchase Wood + Duration of Assemble Shed + Duration of End
Now, plug in the numbers and you get:
Duration of Path 1 = 0 days + 5 days + 3 days + 3 days + 8 days + 0 days = 19 days
Note: The duration of Start and End is zero because there aren’t activities, rather they are events.
Similarly, you can calculate the duration of the other paths:
Duration of Path 2 = 0 days + 5 days + 3 days + 1 days + 8 days + 0 days = 17 days
Duration of Path 3 = 0 days + 5 days + 3 days + 4 days + 4 days + 6 days + 8 days + 8 days + 0 days = 38 days
The durations calculated assume that there is no scope creep. In real-projects, scope creep can be expected. However, it is up-to the project manager to control the degree of scope creep. Read the Managing Scope Creep article for more on the controlling and monitoring scope creep.
Each path has a different duration. Hence, the Critical Path Method or the Critical Path Analysis is required to determine the most important path. As a project manager, you will need to keep an eye on the Critical Path.