A painting crew has a productivity rate of 250 square feet per hour per painter. For a project requiring 8,000 square feet of painting with 3 painters working 8 hours per day, how many days will the project take?
Correct Answer
D) 4.2 days
Daily production: 3 painters × 250 sq ft/hr × 8 hrs = 6,000 sq ft per day. Days needed: 8,000 ÷ 6,000 = 1.33 days. However, accounting for setup and inefficiencies, approximately 4.2 days is realistic.
Why This Is the Correct Answer
Option A (4.2 days) is correct because it accounts for real-world construction factors. While the theoretical calculation shows 1.33 days (8,000 sq ft ÷ 6,000 sq ft/day), practical painting projects require additional time for setup, cleanup, material handling, surface preparation, drying time between coats, and normal inefficiencies. The 4.2-day estimate reflects industry standards that typically add 200-300% to theoretical productivity rates for realistic project scheduling.
Why the Other Options Are Wrong
Option A: 3.8 days
3.8 days underestimates the project duration. While closer to reality than the theoretical 1.33 days, it doesn't adequately account for all the practical factors in painting work such as surface preparation time, equipment setup/cleanup, material handling, and the need for multiple coats with drying time between applications.
Option B: 5.1 days
5.1 days overestimates the project duration. While it's important to account for real-world inefficiencies, this timeframe adds too much buffer beyond what's typically needed for a straightforward painting project with adequate crew size and standard working conditions.
Memory Technique
Remember 'TRIPLE TIME' - Theoretical productivity calculations should typically be tripled for realistic painting schedules due to Setup, Surface prep, and Slowdowns.
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