Question : P, Q, and R can complete a piece of work in 9, 12, and 18 days, respectively. Working together, how much work can they complete in one day?
Option 1: $\frac{2}{3}$
Option 2: $\frac{1}{2}$
Option 3: $\frac{1}{3}$
Option 4: $\frac{1}{4}$
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Correct Answer: $\frac{1}{4}$
Solution : One day work of P $= \frac{1}{9}$ One day work of Q $= \frac{1}{12}$ One day work of R $= \frac{1}{18}$ Work done by all the three in a day $= \frac{1}{9}+\frac{1}{12}+\frac{1}{18}$ $= \frac{4+3+2}{36}$ $= \frac{9}{36} = \frac{1}{4}$ Hence, the correct answer is $\frac{1}{4}$.
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Question : P and Q together complete a job in $4 \frac{2}{5}$ days. R and S complete the same job in $4 \frac{8}{9}$ days. If P, Q, R, and S work together, how many days do they need to complete the same job?
Question : P, Q, and R can complete a piece of work in 10 days, 15 days, and 20 days, respectively. If they work together, in how many days can they finish the same work?
Question : P, Q, and R can finish a work in 5 days, 10 days, and 15 days, respectively, working alone. P and Q work on the first day, P and R work on the second day, P and Q work on the third day and so on till the work is completed. In how many days the work will be completed?
Question : A and B working separately can complete a piece of work in 10 and 16 days, respectively. If they work for a day alternately, with A beginning the work, in how many day (s) will the work be completed?
Question : X and Y can complete a work in 9 days and 36 days, respectively. X begins to do the work and they work alternately one at a time for one day each. The whole work will be completed in:
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