GATE CE 2016 Set 2 — Question 49
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Structural Engineering → Construction Management → Critical Path
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Question
The activity-on-arrow network of activities for a construction project is shown in the figure. The durations (expressed in days) of the activities are mentioned below the arrows.
The critical duration for this construction project is
Correct answer
(C) 15 days
Solution
To find the critical duration, we identify all possible paths from the start node (10) to the end node (90) and calculate their total durations:
1.Path 10-20-30-70-80-90 (P-Q-T-W-X): days
2.Path 10-20-30-50-70-80-90 (P-Q-dummy-U-W-X): days
3.Path 10-20-40-50-70-80-90 (P-R-dummy-U-W-X): days
4.Path 10-20-40-60-80-90 (P-R-dummy-V-X): days
5.Path 10-20-60-80-90 (P-S-V-X): days
The critical duration is the maximum of these path durations, which is 15 days.Continue learning with Success Tracker
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