GATE CE 2016 Set 2 — Question 20
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Structural Engineering → Construction Management → Floats
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Question
A construction project consists of twelve activities. The estimated duration (in days) required to complete each of the activities along with the corresponding network diagram is shown below.
Total floats (in days) for the activities 5-7 and 11-12 for the project are, respectively,
| Activity | Duration (days) | Activity | Duration (days) |
|---|---|---|---|
| A Inauguration | 1 | G Flooring | 25 |
| B Foundation work | 7 | H Electrification | 7 |
| C Structural construction-1 | 30 | I Plumbing | 7 |
| D Structural construction-2 | 30 | J Wood work | 7 |
| E Brick masonry work | 25 | K Coloring | 3 |
| F Plastering | 7 | L Handing over function | 1 |
Correct answer
(C) 0 and 0
Solution
To find the total float, we first identify the critical path(s) of the network. The duration of various paths from node 1 to node 12 are:
1.Path 1-2-3-4-6-8-10-11-12: days.
2.Path 1-2-3-5-7-9-10-11-12: days.
3.Path 1-2-3-4-5-7-9-10-11-12 (via dummy 4-5): days.
Since the maximum duration is 81 days, all these paths are critical paths. Activity 5-7 (G) lies on Path 2 and Path 3, which are critical. Activity 11-12 (L) lies on all critical paths. The total float for any activity on a critical path is 0. Therefore, the total floats for activities 5-7 and 11-12 are 0 and 0, respectively.Continue learning with Success Tracker
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