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
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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