The critical duration of the network diagram given below is:

F1 Savita ENG 24-9-24 D1

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OSSC JE Civil Mains (Re-Exam) Official Paper: (Held On: 3rd Sept 2023)
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  1. 25
  2. 31
  3. 42
  4. 28

Answer (Detailed Solution Below)

Option 2 : 31
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Detailed Solution

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Explanation:

To calculate the critical path in the given network diagram and find the critical duration, we need to determine the path with the longest duration from the start node to the finish node. The critical path is the one where any delay will affect the total duration of the project.

Analyzing the Paths:

1. Path A → C → F → J:

Total duration = 5 + 4 + 8 + 5 = 22

2. Path A → C → E → G → J:

Total duration = 5 + 4 + 7 + 10 + 5 = 31

3. Path A → C → E → H → I:

Total duration = 5 + 4 + 7 + 8 + 6 = 30

4. Path B → D → H → I:

Total duration = 8 + 9 + 8 + 6 = 31

Conclusion:

The critical path duration is 31 units.

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