Question : 25 employees can finish work in 20 days. After how many days should 10 employees leave the job so that the work is finished in 30 days?
Option 1: 7 days
Option 2: 6 days
Option 3: 3 days
Option 4: 5 days
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Correct Answer: 5 days
Solution : Given, 25 employees can finish work in 20 days. According to the question, Total work = 25 × 20 = 500 units Let us assume that 10 employees leave after $x$ days. ⇒ Work done in $x$ days = $25x$ Now, (25 – 10) = 15 employees work for (30 – $x$) days. ⇒ Work done in (30 – $x$) days = 15(30 – $x$) According to the question, ⇒ $25x+15(30-x)=500$ ⇒ $25x+450-15x=500$ ⇒ $10x=500-450$ ⇒ $10x=50$ ⇒ $x=5$ days Hence, the correct answer is 5 days.
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Question : A can do a piece of work in 16 days. B can do the same work in 24 days. A started the work alone. After how many days should B join him, so that the work is finished in 10 days?
Option 1: 6 days
Option 2: 2 days
Option 3: 5 days
Option 4: 1 day
Question : Rimmi and Simmi can together finish a work in 40 days. They worked together for 30 days and then Simmi left. After another 30 days, Rimmi finished the remaining work alone. In how many days Rimmi alone can finish the work?
Option 1: 120 days
Option 2: 30 days
Option 3: 80 days
Option 4: 40 days
Question : Kanti and Jiya together can finish a work in 3 days. If Jiya alone can finish the work in 6 days, then in how many days can Kanti alone finish the work?
Option 1: 4 days
Option 3: 10 days
Option 4: 8 days
Question : A alone can do a piece of work in 30 days. He worked at it for 5 days and then B alone finished the remaining work in 10 days. In how many days B alone can finish the entire work?
Option 1: 12 days
Option 2: 15 days
Option 4: 18 days
Question : A, B, and C together can complete a work in 5 days. A and B together can complete the same work in 6 days. C alone can finish the same work in how many days?
Option 1: 60 days
Option 3: 15 days
Option 4: 20 days
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