"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

Because the sequence Foundation → Framing → Roofing → Inspection is the identified critical path with zero float, any unmitigated delay on an activity in that sequence directly increases project duration by the same amount.

1) Relevant knowledge points and concepts
- Critical Path Method (CPM): the longest path through the network determining project duration.
- Total float: amount an activity can be delayed without changing project finish; zero float on a path means it is critical.
- Free float: amount an activity can be delayed without delaying its immediate successor.
- If an activity on the critical path has a delay and no corrective action is taken, the project finish date shifts by that delay.

2) Step-by-step reasoning
- The path Foundation → Framing → Roofing → Inspection is the longest path and has zero total float, so it controls the project finish date.
- Two weeks into execution, Roofing is delayed by 3 days. Roofing lies on the critical path.
- With zero total float, there is no slack anywhere on that path to absorb additional time.

3) Intermediate “calculation” steps (conceptual)
- Original project finish = T.
- Roofing delay = +3 days.
- New project finish = T + 3 days, because the delay on a critical-path activity adds directly to the project duration when no float exists and no corrective measures are applied.

4) Why the correct answer is correct
- The direct implication of a 3-day delay on an activity with zero float on the critical path is a 3-day extension of the project completion date, as the critical path determines project duration and cannot absorb the delay.

5) Why other choices are incorrect
- “The delay can be absorbed by free float on non-critical paths”: non-critical path float cannot absorb delay on the critical path. Only activities with float on the same path could.
- “Only roofing activities are affected; project completion date remains unchanged”: false because the critical path controls finish date.
- “Non-critical activities will automatically compress to protect the end date”: compression (crashing/fast tracking) requires active corrective action and is not automatic.

Conclusion: The project completion date is delayed by 3 days, matching the provided correct answer.

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