"A construction project team develops a detailed network diagram and identifies that the path Foundation ? Framing ? Roofing ? Inspection has zero float and is longer than all other paths. Two weeks into execution, roofing is delayed by 3 days. What is the most direct implication of this delay, assuming no corrective action is taken?"

Question

BlackTom AI · Accepted Answer

A path with zero float is the critical path, so any delay on an activity on that path will directly increase the project duration by the same amount if nothing else is done.

1) Relevant knowledge points and concepts
- Critical Path Method (CPM): the longest path through the project network determines project duration.  
- Total float (slack): the amount an activity can be delayed without delaying project completion. Total float = Latest Finish − Earliest Finish. Zero total float means no slack.  
- Free float: delay allowed for an activity without delaying its immediate successor, not the whole project.  
- Corrective actions (crashing, fast-tracking, re-sequencing) are required to prevent a critical-path delay from extending the finish date.

2) Step-by-step reasoning
- The network shows Foundation → Framing → Roofing → Inspection is the longest path and has zero float. Therefore it is the critical path and controls project completion.  
- Roofing, on that critical path, is delayed by 3 days. With no corrective action, that delay cannot be absorbed by the activity’s float (zero) or by shifting others on that path (no slack).

3) Calculations and intermediate steps
- Let original project duration = D days (determined by critical path).  
- Roofing delay = +3 days.  
- New project duration = D + 3 days (since critical path length increases by the roofing delay).  
- Project completion shifts forward by 3 days.

4) Why the correct answer is correct
- Because the delayed activity is on the critical path with zero total float, any unmitigated delay directly increases the project finish by the same amount.

5) Why the other options are incorrect
- "Non-critical activities will automatically compress..." is false; activities do not auto-compress—compression requires proactive actions.  
- "Only roofing activities are affected; project completion date remains unchanged" is false because a critical-path delay affects the overall finish.  
- "The delay can be absorbed by free float on non-critical paths" is false; free float on non-critical paths cannot reduce the length of the critical path.

6) Conclusion
The most direct implication is that the project completion date is delayed by 3 days, which matches the provided answer.

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