021 Official Paper Shift 2 (Held on 27 Oct 2021)
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10 days 12 days 38 days 16 days
Answer (Detailed Solution Below)
Option 4 : 16 days
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Download Solution PDFExplanation:Earliest Start Time (EST)
The earliest start time for an activity is the earliest time by which it can commence. This is naturally equal to the earliest event time associated with the tail of the activity arrow. It is abbreviated by EST.
If the activity is denoted i - j, and if the earliest event time at its tail is TiE, we have EST = TiEEarliest Finish Time (EFT)
If an activity proceeds from its early start time and takes the estimated duration for completion, then it will have an early finish. Hence earliest finish time (EFT) for an activity is defined as the earliest time by which it can be finished. This is evidently equal to the earliest start time plus estimated duration of the activity:
EFT = earliest start time + activity duration = TiE + tijEarliest start time of activity D = Max (All the earliest finish times of activities ending at D)= Max (Earliest finish time of A, B, and C)
= Max (10,12, 16)Earliest start time of activity D = 16 Days.
Additional InformationLatest Start Time (LST)
Latest start time for an activity is the latest time by which an activity can be started without delaying the completion of the project. For ‘no delay’ condition to be fulfilled, it should be naturally equal to the latest finish time (LFT) minus the activity duration.
∴ LST = LFT - Activity duration = TiL - tijLatest Finish Time (LFT)
The latest finish time for an activity is the latest time by which an activity can be finished without delaying the completion of the project. Naturally, the latest finish time for an activity will be equal to the latest allowable occurrence time for the event at the head of the arrow.
LFT = Latest event time at the head of activity arrow = TiL
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