GATE CE 2022 Set 2 — Question 53
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Structural Engineering → Construction Management → Floats
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Question
The activities of a project are given in the following table along with their durations and dependency.
The total float of the activity E (in days) is ________. (in integer)
| Activities | Duration (days) | Depends on |
|---|---|---|
| A | 10 | - |
| B | 12 | - |
| C | 5 | A |
| D | 14 | B |
| E | 10 | B, C |
Correct answer
1 to 1
Solution
First, we determine the project duration by finding the longest path (Critical Path):
- Path 1: A C E: days
- Path 2: B D: days
- Path 3: B E: days
- Earliest Start (ES) = days.
- Earliest Finish (EF) = days.
- Latest Finish (LF) = Project duration = days (since E has no successors).
- Total Float (TF) = day.
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