A contractor is managing a project with the following critical path activities: A(5 days) → B(8 days) → C(6 days) → D(4 days). If Activity B is delayed by 3 days, what is the new project duration?
Correct Answer
A) 26 days
Original critical path duration: 5 + 8 + 6 + 4 = 23 days. With a 3-day delay in Activity B (which is on the critical path), the new project duration becomes 23 + 3 = 26 days.
Why This Is the Correct Answer
The critical path method requires calculating the total duration by adding all sequential activities. The original critical path duration is 5 + 8 + 6 + 4 = 23 days. Since Activity B is on the critical path, any delay to it directly extends the overall project duration. A 3-day delay to Activity B increases the total project duration from 23 days to 26 days.
Why the Other Options Are Wrong
Option B: 29 days
23 days is the original project duration before any delays were applied to Activity B.
Option C: 20 days
20 days represents a project duration that is 3 days shorter than the original 23-day duration, which makes no sense when a delay has occurred.
Option D: 23 days
29 days incorrectly adds the 3-day delay twice or uses faulty math, resulting in an excessive project duration.
Memory Technique
Remember 'Critical = Direct Impact' - any delay on the critical path directly adds to project duration, while delays on non-critical activities may have float time to absorb the delay.
Reference Hint
Project Management chapter, specifically Critical Path Method (CPM) and schedule analysis sections
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