A masonry crew can lay 400 concrete blocks per day. If a project requires 8,000 blocks and the crew costs $1,200 per day, what is the total labor cost for the masonry work?
Correct Answer
C) $24,000
Calculate days needed: 8,000 blocks ÷ 400 blocks per day = 20 days. Total labor cost: 20 days × $1,200 per day = $24,000.
Why This Is the Correct Answer
This is a straightforward productivity and cost calculation problem. First, we determine how many days the crew needs by dividing total blocks required (8,000) by daily production capacity (400 blocks/day) = 20 days. Then we multiply the number of days (20) by the daily crew cost ($1,200) to get the total labor cost of $24,000. This type of calculation is fundamental for estimating labor costs on construction projects.
Why the Other Options Are Wrong
Option A: $18,000
$18,000 would result from incorrectly calculating 15 days of work instead of 20 days, possibly from a math error in the division step.
Option B: $20,400
$20,400 appears to result from using 17 days instead of 20 days, which could come from rounding errors or miscalculation in the initial division.
Option D: $28,800
$28,800 would result from using 24 days instead of 20 days, possibly from incorrectly dividing 8,000 by 333 instead of 400 blocks per day.
Memory Technique
Remember 'WRT' - Work ÷ Rate = Time, then Time × Rate = Total cost. The rate appears in both calculations but in different positions.
Reference Hint
Construction estimating sections covering labor productivity rates and crew cost calculations, typically found in project management or estimating chapters.
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