A construction project has a critical path of 120 days. Activity Y has 8 days of total float. If Activity Y is delayed by 12 days due to material delivery issues, what happens to the project completion date?
Correct Answer
D) Project is delayed by 4 days
Activity Y can be delayed up to 8 days (its total float) without affecting the project. Since it's delayed 12 days, the excess delay of 4 days (12-8=4) will delay the entire project by 4 days.
Why This Is the Correct Answer
Activity Y has 8 days of total float, meaning it can be delayed up to 8 days without impacting the project's critical path. When delayed by 12 days, only the first 8 days are absorbed by the float. The remaining 4 days (12 - 8 = 4) exceed the available float and directly delay the project completion date by 4 days.
Why the Other Options Are Wrong
Option B: Project is delayed by 12 days
This is incorrect because Activity Y's delay of 12 days exceeds its total float of 8 days. While the first 8 days of delay are absorbed by the float, the remaining 4 days will impact the project completion date.
Option C: No change - project completes on time
This assumes the entire float amount becomes the project delay, which is incorrect. The project delay equals only the amount by which the activity delay exceeds its available float (12 - 8 = 4 days), not the full float value.
Memory Technique
Think 'Float First' - float absorbs delays first like a shock absorber. Only delays beyond the float capacity affect the project: Delay Impact = Activity Delay - Available Float (if positive).
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