Consider the following pairs: 1. Difference between total float and free float: Interfering float 2. Sum of independent float and tail slack: Free float 3. Sum of independent float, tail slack, and interfering float: Total float Which of these pairs are correctly matched?

Consider the following pairs: 1. Difference between total float and free float: Interfering float 2. Sum of independent float and tail slack: Free float 3. Sum of independent float, tail slack, and interfering float: Total float Which of these pairs are correctly matched? Correct Answer (1), (2) and (3)

Explanation

Total float: (FT)

It is the amount of time that the completion time of an activity can be delayed without affecting project completion time.

Free float: (FF)

It is the amount of time that the activity completion time can be delayed without affecting the earliest start time of the immediate successor activities in the network.

FF = FT - Sj

Interfering Float: (FIN)

  • The maximum amount by which an activity can be delayed without delaying the project but will cause delay to the Early Start of some following activity
  • It is the difference between total float and free float. It is thus equal to the head event slack.

FIN = FT - FF = Sj (Statement 1 is correct)

Where, FT is Total Float, FF is Free float

Independent Float: (FID)

The amount by which an activity can be delayed without delaying the project; even if all predecessors are at Late Finish and all Successors are at Early Start.

FID = FF - Si = FT - Sj - Si 

⇒ FID + S= FF (Statement 2 is correct)

i is Tail event Slack

Sj is Head Event Slack 

In the statement (3) It is asked Sum of independent float, tail slack, and interfering float: Total float

Let's Check

FID + Si + FIN 

= (FF - Si ) + Si + (FT - FF)

= FT (Total Float) ∴ Statement 3 is correct.

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