Eight people can complete a piece of work in 14 days. How many additional people will be required to complete three times the work in 8 days?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 34
Work is measured in person-days (people × days). Three times the work needs three times the person-days, and the question asks for the people needed in addition to the 8 already there.
The given work \(=8\times14=112\) person-days
Three times the work \(=3\times112=336\) person-days
People needed to finish it in 8 days \(=336\div8=42\)
Additional people \(=42-8=34\)
The value 42 in Option (3) is the total number of people needed, not the additional number.