Question : Ten men begin to do a work. But after some days, four of them left the job. As a result, the job that could have been completed in 40 days is completed in 50 days. How many days after the commencement of the work did the four men leave?
Option 1: 30
Option 2: 20
Option 3: 35
Option 4: 25
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Correct Answer: 25
Solution :
Number of days taken by 10 men to complete the work = 40
Number of days taken to complete the work after 4 men left after some days = 50
Total work = 10 × 40 = 400 units
Let the number of days after the commencement of the work when the four men left be $x$.
So, 10$x$ + 6(50 – $x$) = 400
⇒ 4$x$ = 100
⇒ $x$ = 25
Hence, the correct answer is 25.
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