GATE CE 2025 Set 2 — Question 53
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Structural Engineering → Construction Management → Floats
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Question
The figure shows a network diagram for a construction project. The activities A, B, C, D, E, and F are represented by arrows and their durations are in the figure. The total float available for the activity E in day(s) is equal to _____ (round off to the nearest integer).
Correct answer
1 to 1
Solution
1.Identify all paths from start (node 1) to end (node 5):
- Path 1: 1-2-4-5, Duration = days
- Path 2: 1-3-4-5, Duration = days
- Path 3: 1-3-5, Duration = days
3.For activity E (node 4 to node 5):
- Earliest Start () is the earliest time node 4 can be reached: .
- Latest Finish () is the latest time node 5 can be reached without delaying the project: .
- Total Float () = day.
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