GATE CE 2017 Set 1 — Question 45
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Structural Engineering → Construction Management → Critical Path
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Question
The activity details of a project are given below:
The estimated minimum time (in days) for the completion of the project will be ___________
| Activity | Depends on | Duration (in days) |
|---|---|---|
| P | -- | 6 |
| Q | P | 15 |
| R | Q, T | 12 |
| S | R | 16 |
| T | P | 10 |
| U | Q, T | 14 |
| V | U | 16 |
Correct answer
51 to 51
Solution
To find the minimum time for completion, we need to find the length of the critical path (the longest path through the network).Let's list all possible paths from start to finish:
1.Path P-Q-R-S:
2.Path P-Q-U-V:
3.Path P-T-R-S:
4.Path P-T-U-V:
The longest path is P-Q-U-V with a duration of . Therefore, the estimated minimum time for the completion of the project is .Continue learning with Success Tracker
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