A concrete crew can place 45 cubic yards per day. If a foundation requires 270 cubic yards and concrete can only be delivered on weekdays, how many work days are needed if concrete must be placed the same day it's delivered?
Correct Answer
A) 6 days
270 cubic yards ÷ 45 cubic yards per day = 6 work days. Since concrete is delivered only on weekdays and must be placed the same day, exactly 6 weekdays are needed.
Why This Is the Correct Answer
The calculation is straightforward: 270 cubic yards ÷ 45 cubic yards per day = 6 work days. Since the concrete crew can place exactly 45 cubic yards daily and concrete must be placed the same day it's delivered (only on weekdays), the project requires exactly 6 weekdays to complete. No additional days are needed since the division results in a whole number.
Why the Other Options Are Wrong
Option B: 8 days
7 days would provide capacity for 315 cubic yards (7 × 45 = 315), which exceeds the required 270 cubic yards by 45 cubic yards. This represents one unnecessary work day beyond what's actually needed.
Option C: 7 days
5 days would only allow placement of 225 cubic yards (5 × 45 = 225). This leaves 45 cubic yards unplaced, requiring an additional day. The calculation shows 270 ÷ 45 = 6, not 5 days.
Memory Technique
Remember 'Divide and Decide': Simply divide total volume by daily capacity. If it's a whole number, that's your answer - no rounding needed when the math works out perfectly.
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