GATE CE 2021 Set 1 — Question 53
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Structural Engineering → Construction Management → Floats
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Question
A small project has 12 activities – N, P, Q, R, S, T, U, V, W, X, Y, and Z. The relationship among these activities and the duration of these activities are given in the Table.
The total float of the activity “V” (in weeks, in integer) is ________.
| Activity | Duration (in weeks) | Depends upon |
|---|---|---|
| N | 2 | - |
| P | 5 | N |
| Q | 3 | N |
| R | 4 | P |
| S | 5 | Q |
| T | 8 | R |
| U | 7 | R, S |
| V | 2 | U |
| W | 3 | U |
| X | 5 | T, V |
| Y | 1 | W |
| Z | 3 | X, Y |
Correct answer
0 to 0
Solution
To find the total float of activity V, we perform a forward pass to determine the Early Start (ES) and Early Finish (EF) times, and a backward pass to determine the Late Start (LS) and Late Finish (LF) times.Forward Pass:
Total Float =
Alternatively, Total Float = .
Total Float =
Alternatively, Total Float = .
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