A construction project has activities with the following durations: A=5 days, B=8 days, C=6 days, D=4 days. Path 1 is A-C-D and Path 2 is B-D. What is the critical path duration?
Correct Answer
C) 15 days
Path 1 (A-C-D) = 5+6+4 = 15 days. Path 2 (B-D) = 8+4 = 12 days. The critical path is the longest path, which is Path 1 at 15 days.
Why This Is the Correct Answer
The critical path is the longest path through the project network. Path 1 (A-C-D) totals 5+6+4 = 15 days, while Path 2 (B-D) totals 8+4 = 12 days. Since Path 1 takes 15 days and Path 2 takes 12 days, the critical path duration is 15 days, making option B correct.
Why the Other Options Are Wrong
Option A: 12 days
12 days represents the duration of Path 2 (B-D = 8+4), which is the shorter path. This is not the critical path since the critical path must be the longest path through the network.
Option D: 19 days
23 days is incorrect and significantly higher than either path duration. This could result from adding all activities together (5+8+6+4=23) instead of following the specific path sequences provided.
Memory Technique
Remember 'CRITICAL = LONGEST' - the critical path is always the path with the longest total duration through the project network.
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