Question : Two persons P and Q can do a job together in 36 days. P is 3 times as efficient as Q. In how many days can Q alone complete the work?
Option 1: 148
Option 2: 140
Option 3: 144
Option 4: 146
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Correct Answer: 144
Solution : Given, P is 3 times as efficient as Q. Time taken by P and Q to do a job together = 36 days. Let work done by P and Q in a day be $3x$ and $x$ units respectively. Now, Total work = Number of days they worked $\times$ Their combined efficiency = $36 × (3x + x)$ = $144x$ units Now, time taken by Q to complete the work alone = $\frac{144x}{x}$ = 144 days Hence, the correct answer is 144 days.
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Question : A and B can do a work together in 18 days. A is three times as efficient as B. In how many days can B alone complete the work?
Option 1: 60 days
Option 2: 72 days
Option 3: 54 days
Option 4: 64 days
Question : A, B and C together can complete a work in 12 days. A and B alone can do the same work in 36 days. In how many days can C alone complete the same work?
Option 1: 48
Option 2: 25
Option 3: 12
Option 4: 36
Question : P and Q together can complete a piece of work in 6 days. If P can alone complete the work in 18 days, the number of days required for Q to finish the work is:
Option 1: 10 days
Option 2: 8 days
Option 3: 11 days
Option 4: 9 days
Question : A, B and C can all together do a piece of work in 10 days, in which B takes 3 times as long as A and C together to do the work. In how many days can B alone do the work?
Option 1: 50 days
Option 2: 40 days
Option 3: 10 days
Option 4: 15 days
Question : Anshu, Swati, and Rajni can finish a work in 4 days if they work together. However, Anshu alone will take 9 days to complete the work, and Swati alone will complete the work in 12 days. How many days will Rajni alone take to complete the work?
Option 1: 18
Option 2: 12
Option 3: 24
Option 4: 16
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