An ideal two-stage workload calculation
A fictional analysis team processes records at a constant rate in an ideal planning model. Analyst A can complete a fixed job alone in 12 days and analyst B can complete the identical job alone in 18 days. Analyst A works alone for 3 days before Bisavailable; both then work together until the job is done. Assume their rates add, neither makes errors and there is no coordination overhead. A planner incorrectly averages twelve and eighteen days to estimate their joint completion time. Another planner uses the full-job joint time even after counting the first three days. Use fractions of the same fixed job throughout. These figures are exercise assumptions rather than claims about actual worker productivity or a recommendation about staffing an operational team.
1. Find the combined daily rate.
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The rates are 1/12 and 1/18 job per day. Their sum is 5/36 job per day, so the full-job joint time would be 36/5 days.
2. Find the work remaining when B joins.
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A has completed 3/12=1/4 of the job, leaving 3/4. Do not add the full original workload again.
3. Find the additional time and total elapsed time.
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The remaining time is(3/4)/(5/36)=27/5=5.4 days. Including the initial 3 days gives 8.4 days in total.