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
Option 4: 8 days
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Correct Answer: 5 days
Solution : Time taken by A to do the work = 16 days Part of work done by A in a day = $\frac{1}{16}$ Time taken by B to do the work = 12 days Part of work done by B in a day = $\frac{1}{12}$ Part of work done by A and B in 4 days = 4 × ( $\frac{1}{16}$+$\frac{1}{12}$) = 4 × $\frac{3+4}{48}$ = $\frac{7}{12}$ Remaining work = $1-\frac{7}{12}$ = $\frac{5}{12}$ Time taken by B to do the remaining work = $\frac{\frac{5}{12}}{\frac{1}{12}}$ = 5 days Hence, the correct answer is 5 days.
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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 : 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 : 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
Question : A, B, and C together can do a piece of work in 6 days. A and B together can do the same work in 12 days. B alone can do the same work in 18 days. In how many days can A and C together do the same work?
Option 1: 9 days
Option 2: 10.5 days
Option 3: 8 days
Option 4: 7.5 days
Question : B and C can complete work alone in 10 days and 30 days respectively. They began the work together but B left the work after some days and C completed the remaining work in 10 days. After how many days from the beginning B left the work?
Option 4: 5 days
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