Question : A certain number of persons can complete a work in 90 days. If there were 10 persons less, it would have taken 10 days more for the work to be completed. Find the total number of persons in the beginning.
Option 1: 90
Option 2: 110
Option 3: 85
Option 4: 100
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Correct Answer: 100
Solution : Given, Time taken by a certain number of persons = 90 days The difference in days if 10 persons less = 10 days Let the number of persons present initially be $x$. Now, the Work done is the same ⇒ $x\times90 = (x-10)\times100$ ⇒ $90x = 100x - 1000$ ⇒ $100x-90x = 1000$ ⇒ $x = 100$ Hence, the correct answer is 100.
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Question : A certain number of men can do a piece of work in 40 days. If there were 45 men more the work could have been finished in 25 days. Find the original number of men employed in the work.
Option 1: 70
Option 2: 85
Option 3: 65
Option 4: 75
Question : A and B together can complete a work in 20 days. B and C together can complete the same work in 15 days. If A, B, and C all work together, then the same work gets completed in 10 days. How many days will A and C together take to complete the same work?
Option 1: 8 days
Option 2: 10 days
Option 3: 15 days
Option 4: 12 days
Question : A can complete a piece of work in 9 days. B and C can complete the same work in 12 days and 18 days respectively. If A, B, and C work together, then in how many days will they complete the work?
Option 1: 10 days
Option 2: 8 days
Option 3: 4 days
Option 4: 15 days
Question : A alone can complete a work in 40 days. 20 percent of the same work will be completed by A in how many days?
Option 3: 5 days
Option 4: 6 days
Question : The ratio of time taken to complete a work by a man and a woman is 2 : 3. The man and the woman can complete the work together in 24 days. In how many days can the woman complete the work alone?
Option 1: 20 days
Option 2: 40 days
Option 3: 60 days
Option 4: 30 days
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