Question : X and Y together can do a piece of work in 45 days. If Y alone can complete it in 180 days, then in how many days X alone can complete the work?
Option 1: 90 days
Option 2: 40 days
Option 3: 60 days
Option 4: 80 days
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Correct Answer: 60 days
Solution : X and Y together in 1 day can do $\frac{1}{45}$ part Y alone in 1 day can do $\frac{1}{180}$ part So, X alone in 1 day can do = $\frac{1}{45}$ – $\frac{1}{180}$ = $\frac{1}{60}$ part of the work Thus, X alone can complete the work in $(1÷\frac{1}{60})$ = 60 days Hence, the correct answer is 60 days.
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Question : X and Y together can do a work in 10 days. Y and Z together can do the same work in 15 days. Z and X together can do the same work in 12 days. In how many days can Z alone do the same work?
Option 1: 80 days
Option 2: 60 days
Option 3: 40 days
Option 4: 50 days
Question : X and Y together can do a piece of work in 30 days. Z alone can do it in 60 days. If they worked together, then in how many days they can finish the work?
Option 1: 50
Option 2: 25
Option 3: 45
Option 4: 20
Question : A and B together can do a piece of work in 24 days. A alone can do this work in 40 days. In how many days can B alone do this work?
Option 1: 40 days
Option 2: 56 days
Option 4: 16 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
Question : Seema alone can do a piece of work in 8 days and her sister Reema alone can do the same work in 24 days. If they worked together, then in how many days they will complete the work?
Option 1: 8 days
Option 2: 6 days
Option 3: 10 days
Option 4: 4 days
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