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 2: 6 days
Option 3: 10 days
Option 4: 8 days
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Correct Answer: 6 days
Solution : Time taken by Jiya alone to finish the work = 6 days ⇒ Part of the work done by Jiya in a day = $\frac{1}{6}$ Let the time taken by Kanti alone to finish the work be $x$. ⇒ Part of the work done by Kanti in a day = $\frac{1}{x}$ Time taken by Kanti and Jiya together to finish a work = 3 days ⇒ Part of the work done by Kanti and Jiya in a day = $\frac{1}{3}$ So, $\frac{1}{6} + \frac{1}{x} = \frac{1}{3}$ ⇒ $\frac{1}{x} = \frac{1}{3} - \frac{1}{6} = \frac{2-1}{6} = \frac{1}{6}$ $\therefore x = 6$ Hence, the correct answer is 6 days.
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Question : X alone can finish a work in 18 days, and Y alone can finish the same work in 9 days. If X, Y, and Z together can finish the same work in 4 days, then in how many days Z alone can finish the work?
Option 1: 12 days
Option 2: 10 days
Option 3: 14 days
Option 4: 16 days
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 : A alone can do a work in 16 days and B alone can do the same work in 12 days. If they worked together on it for 4 days and A left. How long did B take to finish the remaining work?
Option 1: 7 days
Option 2: 5 days
Option 3: 6 days
Question : Sachin is 12.5 percent less efficient than Rohit. If Sachin alone can finish a work in 24 days, then in how many days will Rohit alone finish the same work?
Option 1: 16 days
Option 2: 21 days
Option 3: 18 days
Option 4: 20 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 2: 15 days
Option 4: 18 days
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