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Consider the following statements:

In the critical path method of construction planning. Free float can be

1. Greater than total float

2. Greater than Independent Float

3. Equal to Total Float

4. Less than Independent Float

Float Of these statements

  • a)
    1 and 4 are correct

  • b)
    2 and 3 are correct

  • c)
    3 and 4 are correct

  • d)
    1 and 2 are correct

Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider the following statements:In the critical path method of const...
The critical path is the sequence of activities that represents the longest path through a project. It determines the shortest possible project duration.


The critical path can be easily determined with the help of total float calculations. The activities on the critical path are those activities that have total float equal to zero


i.e. TF = 0.


Independent Float



  • It refers to the amount of time by which the start of an activity is can be delayed without affecting EST of any immediately following activity

  • It is given by IF = FF – S 

  • i.e. FF = IF + Si

  • If S= 0 → FF = IF = 0

  • If S≠ 0 FF > IF

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Most Upvoted Answer
Consider the following statements:In the critical path method of const...
Explanation:

Critical Path Method (CPM) is a project management technique used to determine the longest possible route to complete a project, identify the activities that depend on each other, and estimate the duration of the project. The CPM is based on the concept of float, which refers to the amount of time an activity can be delayed without delaying the entire project.

Total Float: Total float is the amount of time an activity can be delayed without delaying the project completion date. It is calculated as the difference between the late finish date and the early finish date of an activity.

Free Float: Free float is the amount of time an activity can be delayed without delaying the early start date of its successor activity. It is calculated as the difference between the early finish date of an activity and the early start date of its successor activity minus one.

Independent Float: Independent float is the amount of time an activity can be delayed without delaying the early start date of any other activity. It is the difference between the early start date of an activity and the late start date of its predecessor activity minus one.

Based on the above definitions, the correct statement is:

b) 2 and 3 are correct

Explanation of each statement:

1. Greater than total float: Free float can never be greater than total float because total float includes free float plus any additional time that an activity can be delayed without affecting the start of its successor activity.

2. Greater than Independent Float: Free float can be greater than independent float because independent float takes into account the delay of the predecessor activity, while free float only considers the delay of the successor activity.

3. Equal to Total Float: Free float can never be equal to total float because total float includes free float plus any additional time that an activity can be delayed without affecting the start of its successor activity.

4. Less than Independent Float: Free float can never be less than independent float because independent float takes into account the delay of the predecessor activity, while free float only considers the delay of the successor activity.

In summary, the correct statement is 2 and 3 are correct.
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