A project requires 15,000 cubic yards of fill material. If trucks can carry 12 cubic yards each and make 3 trips per day, how many truck-days are needed?
Correct Answer
D) 417 truck-days
Each truck carries 12 cubic yards × 3 trips = 36 cubic yards per day. Total truck-days needed: 15,000 ÷ 36 = 416.7, which rounds to 417 truck-days.
Why This Is the Correct Answer
Option C is correct because it properly calculates the daily capacity per truck and divides the total requirement by this capacity. Each truck carries 12 cubic yards per trip and makes 3 trips per day, giving 36 cubic yards per truck per day. Dividing 15,000 cubic yards by 36 cubic yards per truck-day equals 416.7, which rounds up to 417 truck-days since you cannot have partial truck-days in practice.
Why the Other Options Are Wrong
Option A: 125 truck-days
This answer appears to result from dividing 15,000 by 12 (truck capacity per trip) and ignoring the 3 trips per day, giving 1,250 ÷ 10 = 125, which is an incorrect approach.
Option C: 1,250 truck-days
This answer is far too low and likely results from incorrectly dividing by the wrong factor or making a calculation error with the daily capacity per truck.
Memory Technique
Remember 'TDC' - Trips × Daily capacity = Capacity per truck-day, then divide Total volume by Capacity per truck-day
Reference Hint
Construction project management or earthwork sections covering equipment productivity and scheduling calculations
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