Question : P alone can do a piece of work in 24 days. Q alone can do it in 30 days and R alone can do it in 20 days. In how many days they can complete it together?
Option 1: 15 days
Option 2: 18 days
Option 3: 8 days
Option 4: 10 days
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Correct Answer: 8 days
Solution : P alone can do a piece of work in 24 days. Q alone can do it in 30 days and R alone can do it in 20 days. P's 1 day's work = $\frac{1}{24}$ Q's 1 day's work = $\frac{1}{30}$ R's 1 day's work = $\frac{1}{20}$ When P, Q, and R work together, their combined 1 day's work = $\frac{1}{24} + \frac{1}{30} + \frac{1}{20} = \frac{1}{8}$ So, together they will finish the work in 8 days. Hence, the correct answer is 8 days.
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Question : A piece of work can be completed by P and Q together in 24 days, and the same piece of work can be completed by R alone in 60 days. If P and R together can do the same work in 36 days, then find the time taken by Q to complete this piece of work alone.
Option 1: $8\frac{4}{5}$days
Option 2: $29\frac{9}{13}$days
Option 3: $3\frac{6}{7}$days
Option 4: $32\frac{8}{11}$days
Question : P and Q can do a piece of work in 24 days, while R and S can do the same work in 8 days. In how many days P, Q, R, and S do it together?
Option 1: 10 days
Option 2: 6 days
Option 3: 7 days
Option 4: 5 days
Question : Pinki and Rinki together can do a piece of work in 20 days. Rinki and Minki together can do it in 12 days while Pinki and Minki together can do it in 15 days. For how long can Rinki alone do it?
Option 1: 20 days
Option 2: 25 days
Option 3: 30 days
Question : P, Q, and R alone can complete a piece of work in 30 hours, 10 hours and 15 hours respectively. In how much time will they finish the work if they work together?
Option 1: 5 hours
Option 2: 4 hours
Option 3: 8 hours
Option 4: 10 hours
Question : $\mathrm{N}_1$ alone can do 20% of a piece of work in 6 days, $\mathrm{N}_2$ alone can do 20% of the same work in 4 days, and $\mathrm{N}_3$ alone can do 50% of the same work in 12 days. In how many days can they complete the work, if all of them work together?
Option 2: $\frac{120}{13}$ days
Option 4: $\frac{120}{17}$ days
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