1. Calculate the work completed by Team A in the initial 4 days: 20 modules/day * 4 days = 80 modules. 2. Calculate the work completed by Team B in the initial 4 days: 15 modules/day * 4 days = 60 modules. 3. Determine the total work completed by both teams together in the first 4 days: 80 modules + 60 modules = 140 modules. 4. Calculate the remaining work needed to complete the project: 200 modules (total) - 140 modules (completed) = 60 modules. 5. Calculate the additional time Team A will take to complete the remaining 60 modules, working at its rate of 20 modules/day: 60 modules / 20 modules/day = 3 days. Why others are wrong: B — This would be the answer if 80 modules remained, or if Team A's efficiency was miscalculated. C — This often results from an arithmetic error in calculating total work done or remaining work. D — This is likely the result of a significant miscalculation in either work completed or remaining work.

1. **Understand the initial state:** The team processes a specific amount of work (900 records) in a given time (5 hours). 2. **Analyze the change in efficiency:** The new software reduces the *individual time required* for each clerk to process a single record by 25%. This means that for the same amount of work and the same number of clerks, the total time taken will also be reduced by 25%. 3. **Calculate the new total time:** Initial total time = 5 hours. 4. The reduction in time is 25%, so the new time will be 100% - 25% = 75% of the original time. 5. New time = 5 hours * 0.75 = 3.75 hours. Why others are wrong: A — Correct answer. B — This would be the result if the team's *overall efficiency* increased by 25% (i.e., new time = 5 / 1.25 = 4 hours), which is a common misinterpretation of "time reduced by 25%." C — Incorrect calculation or misinterpretation of the efficiency gain. D — Incorrect calculation or misinterpretation of the efficiency gain.

1. Calculate the combined daily efficiency of Artisan A and Artisan B: Artisan A's efficiency = 10 units/day Artisan B's efficiency = 12 units/day Combined efficiency = 10 + 12 = 22 units/day. 2. Calculate the total work done by both artisans working together for 2 days: Work done = Combined efficiency × Number of days = 22 units/day × 2 days = 44 units. 3. Calculate the remaining work after Artisan A leaves: Total work required = 60 units Remaining work = Total work - Work done = 60 - 44 = 16 units. 4. Calculate the number of additional days Artisan B will need to complete the remaining work: Days needed = Remaining work / Artisan B's efficiency = 16 units / 12 units/day = 16/12 days. 5. Simplify the fraction and convert to decimal: 16/12 = 4/3 days ≈ 1.33 days. Why others are wrong: A — This would imply only 12 units of work remaining for Artisan B, which is incorrect. B — This option might result from an incorrect calculation of remaining work, such as 15 units (15/12 = 1.25). D — This would imply 18 units of work remaining for Artisan B (18/12 = 1.5), which is incorrect.

1. Assume the total work is 1 unit. 2. Team Alpha's daily efficiency = 1/20 project/day. 3. Team Beta's daily efficiency = 1/20 * (1 + 0.25) = 1/20 * 1.25 = 1/16 project/day. 4. Team Gamma's daily efficiency = 1/16 * (1 - 0.20) = 1/16 * 0.8 = 1/20 project/day. 5. Work done by Team Gamma in 10 days = 1/20 project/day * 10 days = 10/20 = 1/2 of the project. 6. Remaining work = 1 - 1/2 = 1/2 of the project. 7. Combined daily efficiency of Team Alpha and Team Beta = (1/20) + (1/16) = (4/80) + (5/80) = 9/80 project/day. 8. Days needed for Alpha and Beta to complete remaining work = (Remaining Work) / (Combined Efficiency) = (1/2) / (9/80). 9. Days needed = 1/2 * 80/9 = 40/9 days. Why others are wrong: A — This is the correct calculation based on the given efficiencies and work breakdown. B — This answer might result from significant miscalculations of efficiencies or remaining work. C — This would be the time Alpha and Beta would take to complete the *entire* project together, not just the remaining half. D — This answer could result if Gamma had completed a larger fraction of the work, leaving less for Alpha and Beta, or from an error in calculating their combined efficiency.

Efficiency is measured by the rate at which work is completed, or conversely, the inverse of the time taken to complete a unit of work. To compare, calculate the total time each associate would take to complete the entire task. For P: If 1/3 of the task takes 4 days, then the whole task (3/3) would take 4 days * 3 = 12 days. For Q: If 1/4 of the task takes 5 days, then the whole task (4/4) would take 5 days * 4 = 20 days. For R: If 1/6 of the task takes 6 days, then the whole task (6/6) would take 6 days * 6 = 36 days. Comparing the total times, P completes the task in 12 days, which is less than Q (20 days) and R (36 days). Therefore, P is the most efficient. Why others are wrong: A — Correct. P completes the task in the shortest amount of time. B — Q takes 20 days to complete the task, which is longer than P. C — R takes 36 days to complete the task, which is the longest among the three. D — Sufficient information is provided to calculate and compare the time each associate takes to complete the entire task.