A work is finished in 12 days by 20 workers
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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?
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14 days
Total work = Number of workers x Number of days
Therefore, total work =25 workers×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:
25×12=(25×4)+(20×y)
⇒300=100+20y
⇒20y=300−100
⇒20y=200
⇒y=
20
200
⇒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.