Consider the portion of a project depicted by this graph: What is the latest start time of activity 6-7 if the latest finish of activity 7-8 is 26, and the latest finish of activity 7-9 is 23?
A) 18
B) 17
C) 13
D) 12
E) 10

Question

Consider the portion of a project depicted by this graph:  What is the latest start time of activity 6-7 if the latest finish of activity 7-8 is 26, and the latest finish of activity 7-9 is 23?
A) 18 
B) 17 
C) 13 
D) 12 
E) 10

Quizplus · Accepted Answer

To find the latest start time of activity 6-7, we need to work backwards from its latest finish time. We know that activity 7-8 has a latest finish time of 26, so activity 6-7 must finish no later than 26. The duration of activity 6-7 is 14, so its latest start time is 26 - 14 = 12.
We don't need to consider the latest finish time of activity 7-9 since it is not on the critical path leading to activity 6-7.

Consider the Portion of a Project Depicted by This Graph