Question
Download Solution PDFTen men begin to work together on a job, but after some days, 4 of them leave. As a result, the job which could have been completed in 40 days is completed in 50 days. How many days after the commencement of the work did the 4 men leave?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
10 men can complete the job in 40 days.
Job actually completed in 50 days.
4 men left after working for some days.
Formula used:
Work done by men = Number of men × Number of days
Total work = Work done before leaving + Work done after leaving
Calculations:
Total work = 10 × 40 = 400 units
Work done before 4 men left = 10 × x = 10x
Work done after 4 men left = 6 × (50 - x) = 300 - 6x
⇒ Total work = Work done before leaving + Work done after leaving
⇒ 400 = 10x + (300 - 6x)
⇒ 400 = 10x + 300 - 6x
⇒ 400 - 300 = 4x
⇒ 100 = 4x
⇒ x = 100 / 4
⇒ x = 25
∴ The 4 men left after 25 days, hence the correct answer is option (2).
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