Question

Twenty five workers were employed to complete a compound wall in 12 days.Five workers left after working for 4 days. The remaining 20 workers completed the work, in how many days the total job was completed?

• A. 15 days
• B. 16 days
• C. 14 days
• D. 18 days

Answer 1

The correct option is C 14 days

Total work = Number of workers x Number of days

Therefore, total work $=25$ workers$\times 12$ days.

As it is given that, $25$ workers worked for $4$ days and then $4$ of them left, therefore, let remaining $20$ workers worked for $y$ days. Thus, we have:

$25\times 12=(25\times 4)+(20\times y)\Rightarrow 300=100+20y\Rightarrow 20y=300-100\Rightarrow 20y=200\Rightarrow y=\frac{200}{20}\Rightarrow y=10$

Therefore, $20$ workers worked for $10$ days and the total job got completed in $10+4=14$

Hence, total work was completed in $14$ days.