For an activity i-j, the early event times at i and j, respectively are 5, 24, 9 and 29. (EST = 5, LST = 9, EFT = 24, LFT = 29. The activity duration is 6. Match List-I (Float) with List-ll (Duration) and select the correct answer using the codes given below the lists:
List-I List-ll
A. Free 1. 5
B. Total 2. 9
C. Interfering 3. 13
D. Independent 4. 18
Codes: A, B, C, D
a)
4, 3, 1, 2
b)
3, 4, 1, 2
c)
3, 4, 2, 1
d)
4, 3, 2, 1
Correct answer is option 'B'. Can you explain this answer?

Question

For an activity i-j, the early event times at i and j, respectively are 5, 24, 9 and 29. (EST = 5, LST = 9, EFT = 24, LFT = 29. The activity duration is 6. Match List-I (Float) with List-ll (Duration) and select the correct answer using the codes given below the lists:
List-I List-ll
A. Free 1. 5
B. Total 2. 9
C. Interfering 3. 13
D. Independent 4. 18
Codes: A, B, C, D

a)
4, 3, 1, 2
b)
3, 4, 1, 2
c)
3, 4, 2, 1
d)
4, 3, 2, 1

Correct answer is option 'B'. Can you explain this answer?

Answer

Given Information:

- Activity i-j
- Early event times at i and j, respectively are 5, 24, 9 and 29 (EST = 5, LST = 9, EFT = 24, LFT = 29)
- Activity duration is 6

To find:

- Match List-I (Float) with List-ll (Duration)

Solution:

Float: Float is the amount of time an activity can be delayed without delaying the project duration.

Duration: Duration is the time required to complete an activity.

We can determine the float of activity i-j as follows:

Total Float (TF) = LFT - EFT - duration
TF = 29 - 24 - 6
TF = -1

As the total float is negative, the activity is critical.

Now we can match the float categories with their respective durations as follows:

- Free Float: The amount of time an activity can be delayed without delaying the early start of its successor activity. In this case, there is no successor activity for i-j, so the free float is zero. Duration = 0.
- Total Float: The amount of time an activity can be delayed without delaying the project duration. In this case, we have already calculated the total float to be -1. Duration = 1.
- Interfering Float: The amount of time an activity can be delayed without delaying the late start of its successor activity. In this case, there is no successor activity for i-j, so the interfering float is zero. Duration = 0.
- Independent Float: The amount of time an activity can be delayed without delaying the early start of any other activity. In this case, there are no activities that are dependent on i-j, so the independent float is equal to the free float, which is zero. Duration = 0.

Therefore, the correct answer is option B, which is 3, 4, 1, 2.

Similar Civil Engineering (CE) Doubts

Independent float of an activity (i, j) is denoted by IF (i, j). The earliest occurrence times of i and j are denoted by Ei and Ej respectively. The latest occurrence times of i and j are denoted by Li and Lj respectively. D (i, j) indicates the duration of the activity.

The earliest date and latest date of the events 3 and 10 are given in the above figure. Activity C is connecting both the events and its duration is 12 weeks. The independent float of the activity is

The time span by which the starting or finishing of an activity can be delayed without delaying the completion of the project, is called

The time by which a particular activity can be delayed without affecting the preceding and succeeding activities is known as

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