Consider the portion of a project depicted by this graph: What is the earliest finish time for activity 10-11 (far right hand side), if the earliest start time of 8-10 (upper left hand side) is 12, and the earliest start time of 9-10 (lower left hand side) is 13?
A)22
B)23
C)24
D)25
E)26

Question

Consider the portion of a project depicted by this graph:  What is the earliest finish time for activity 10-11 (far right hand side), if the earliest start time of 8-10 (upper left hand side) is 12, and the earliest start time of 9-10 (lower left hand side) is 13?
A)22 
B)23 
C)24 
D)25 
E)26

Quizplus · Accepted Answer

From the graph, we can see that activity 8-10 has a duration of 10 (earliest start time of 12 and earliest finish time of 22). Activity 9-10 has a duration of 6 (earliest start time of 13 and earliest finish time of 19). Activity 10-11 is dependent on both activities 8-10 and 9-10, meaning it cannot start until both of them are finished. Therefore, the earliest start time for activity 10-11 would be the maximum of the two earliest finish times of activities 8-10 and 9-10. 
Maximum earliest finish time = max(22,19) = 22
Therefore, the earliest finish time for activity 10-11 would be 22.

Consider the Portion of a Project Depicted by This Graph