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In Critical Path Method (CPM) scheduling, what is the float time for activities on the critical path?

Correct Answer

A) Zero

Activities on the critical path have zero float time, meaning any delay in these activities will directly delay the entire project. Float time represents the amount of time an activity can be delayed without affecting the project completion date.

Answer Options
A
Zero
B
One day
C
Equal to the total project duration
D
Variable depending on resource availability

Why This Is the Correct Answer

Activities on the critical path have zero float time by definition because they represent the longest sequence of activities that determines the minimum project duration. Any delay in critical path activities will directly extend the project completion date since there is no buffer time available. Float time (also called slack) is the amount of time an activity can be delayed without affecting the project's finish date, and critical path activities have no such flexibility.

Why the Other Options Are Wrong

Option B: One day

One day is incorrect because float time is not a fixed duration but rather a calculated value based on the difference between early and late start/finish times. Critical path activities have their early and late dates equal, resulting in zero float, not one day.

Option C: Equal to the total project duration

This is incorrect because float time equal to total project duration would mean an activity could be delayed by the entire project length without impact, which contradicts the fundamental purpose of scheduling. Such activities would be completely non-critical and likely unnecessary to the project.

Option D: Variable depending on resource availability

While resource availability can affect scheduling, float time for critical path activities remains zero regardless of resources. Float is a mathematical calculation based on activity dependencies and durations in the network diagram, not resource constraints.

Memory Technique

Think 'CZ' - Critical path = Zero float. Critical activities are like a tightrope walker with zero margin for error.

Reference Hint

Project Management chapter or Construction Scheduling section - look for Critical Path Method (CPM) and float/slack calculations

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