Question : A can do a piece of work in 10 days, B can do it in 12 days and C can do it in 15 days. In how many days will A, B, and C finish it, working all together?
Option 1: $6$ days
Option 2: $5\frac{1}{4}$ days
Option 3: $4\frac{4}{11}$ days
Option 4: $4$ days
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Correct Answer: $4$ days
Solution : Given: A can do a piece of work in 10 days, B can do it in 12 days and C can do it in 15 days. A can do a piece of work in 10 days, B can do it in 12 days and C can do it in 15 days. So, A in 1 day can do $\frac{1}{10}$ part of the work. B in 1 day can do $\frac{1}{12}$ part of the work. and C in 1 day can do $\frac{1}{15}$ part of the work. Now A, B, and C together in 1 day can do ($\frac{1}{10}$ + $\frac{1}{12}$ + $\frac{1}{15}$) part of the work = ($\frac{6+5+4}{60}$) = $\frac{15}{60}$ part of the work Therefore, they together will finish the work in (1 ÷ $\frac{15}{60}$) = $\frac{60}{15}$ = 4 days Hence, the correct answer is $4$ days.
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Question : A can do a piece of work in 6 days, working 8 hours a day, while B can do the same work in 4 days, working 10 hours a day. If the work has to be completed in 5 days, how many hours do they need to work together in a day?
Option 1: $4$
Option 2: $5\frac{4}{11}$
Option 3: $6\frac{4}{11}$
Option 4: $4\frac{4}{11}$
Question : A can do as much work in 4 days as B can do in 5 days and B can do as much work in 6 days as C in 7 days. In what time will C complete a piece of work that A can do in a week?
Option 1: $10\frac{5}{24}$ days
Option 2: $4\frac{4}{5}$ days
Option 3: $6\frac{8}{15}$ days
Option 4: $12\frac{6}{19}$ days
Question : A, B, and C can do a job in 6 days, 12 days and 15 days respectively. After $\frac{1}{8}$th of the work is completed, C leaves the job. The rest of the work is done by A and B together. The time taken to finish the work is:
Option 1: $5\frac{5}{6}$ days
Option 3: $3\frac{1}{2}$ days
Option 4: $3\frac{3}{4}$ days
Question : A and B together can do a piece of work in 36 days and B and C together can do it in 24 days. A and C together can do it in 18 days. The three working together can finish the work in:
Option 1: 8 days
Option 2: 16 days
Option 3: 30 days
Option 4: 32 days
Question : 10 women can do a work in 6 days and 6 men can do the same work in 5 days. If all these men and women work together, then how many days will they take to finish this work?
Option 1: $2\frac{8}{11}$
Option 2: $4\frac{6}{11}$
Option 3: $1\frac{2}{11}$
Option 4: $3\frac{4}{11}$
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