A crew of 4 workers can install 800 linear feet of chain link fence in 8 hours. What is the productivity rate per worker-hour?
Correct Answer
D) 25 linear feet per worker-hour
Total worker-hours = 4 workers × 8 hours = 32 worker-hours. Productivity rate = 800 linear feet ÷ 32 worker-hours = 25 linear feet per worker-hour.
Why This Is the Correct Answer
To find productivity rate per worker-hour, we need to calculate the total worker-hours first, then divide the total work completed by that number. With 4 workers working for 8 hours, we have 32 total worker-hours. Dividing 800 linear feet by 32 worker-hours gives us 25 linear feet per worker-hour. This represents the amount of fence one worker can install in one hour at this crew's productivity level.
Why the Other Options Are Wrong
Option A: 800 linear feet per worker-hour
This answer incorrectly divides 800 linear feet by 8 hours only, ignoring the fact that there are 4 workers contributing to the work, which would overstate the individual worker productivity.
Option C: 100 linear feet per worker-hour
This answer represents the total footage installed by the entire crew, not the productivity rate per individual worker-hour, which completely ignores both the number of workers and time factors.
Memory Technique
Remember 'WHIP' - Workers × Hours = Input Productivity. Total work divided by total worker-hours gives you the rate per worker-hour.
Reference Hint
Construction project management or estimating chapters covering labor productivity calculations and crew efficiency measurements
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