Question : A can do a work in 6 days, which B alone can do in 8 days. In how many days they together can do it?
Option 1: $\frac{24}{7}$ days
Option 2: $\frac{25}{7}$ days
Option 3: $\frac{27}{4}$ days
Option 4: $\frac{22}{3}$ days
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Correct Answer: $\frac{24}{7}$ days
Solution : One day's work of A = $\frac{1}{6}$ One day's work of B = $\frac{1}{8}$ One day's work of A and B together = $\frac{1}{6}+\frac{1}{8}$ = $\frac{4+3}{24}$ = $\frac{7}{24}$ $\therefore$ Together they can complete the work in ($1÷\frac{7}{24}$) = $\frac{24}{7}$ days Hence, the correct answer is $\frac{24}{7}$ days.
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Question : A alone can do a work in 4 days, which B alone can do in 6 days. In how many days they together can do it?
Option 1: $\frac{7}{12}$
Option 2: $\frac{12}{7}$
Option 3: $\frac{12}{5}$
Option 4: $\frac{5}{12}$
Question : Avi alone can do a piece of work in 60 days while Prakash alone can do it in 80 days. In how many days will they finish it together?
Option 1: $\frac{250}{6}$ days
Option 2: $\frac{270}{6}$ days
Option 3: $\frac{240}{7}$ days
Option 4: $\frac{140}{6}$ days
Question : A alone can do a piece of work in 10 days. B alone can do the same work in 12 days. They work on alternate days starting with A. In how many days will they complete $\frac{3}{4}$th of the total work?
Option 1: $\frac{47}{3}$ days
Option 2: $\frac{50}{3}$ days
Option 3: $\frac{53}{6}$ days
Option 4: $\frac{49}{6}$ days
Question : A alone can do $\frac{1}{4}$th part of the work in 12 days. B alone can do $\frac{1}{5}$th part of the work in 4 days. In how many days can A and B together can do the same work?
Option 1: $\frac{330}{13}$ days
Option 2: $\frac{240}{17}$ days
Option 3: $\frac{210}{4}$ days
Option 4: $\frac{255}{7}$ days
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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