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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Question : 15 men can finish a piece of work in 40 days. The number of days after which 5 men should leave the work so that the work is finished in 45 days altogether is:
Option 1: 10
Option 3: 30
Option 4: 35
Question : 40 men can complete a work in 30 days. However, if 10 men leave the group, how many days will the group take to complete the work?
Option 1: 40
Option 2: 35
Option 3: 45
Option 4: 50
Question : A can do a piece of work in 20 days and B in 30 days. They work together for 7 days and then both leave the job. Then C alone finishes the remaining work in 10 days. In how many days will C finish the full work?
Option 1: 25 days
Option 2: 30 days
Option 3: 24 days
Option 4: 20 days
Question : A contractor decided to complete a work in 80 days and employed 60 men at the beginning and 20 men additionally after 20 days and got the work completed as per schedule. If he had not employed the additional men, how many extra days would he have needed to complete the work (round off to the nearest integer)?
Option 1: 32 days
Option 2: 20 days
Option 3: 30 days
Option 4: 26 days
Question : 15 men can complete a work in 25 days and 25 women can complete the same work in 40 days. If all the 15 men and 25 women work together, in how many days will the work get completed?
Option 1: $15 \frac{5}{13}$ days
Option 2: $10 \frac{5}{13}$ days
Option 3: $15 \frac{5}{12}$ days
Option 4: $15 \frac{4}{13}$ days
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