Question : If A can do a work in 21 days and B can do the same work in 28 days. In how many days will they complete the work if they work on alternate days?
Option 1: 22 days
Option 2: 28 days
Option 3: 20 days
Option 4: 24 days
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Correct Answer: 24 days
Solution : Time taken by A to do the work = 21 days Part of work done by A in a day = $\frac{1}{21}$ Time taken by B to do the work = 28 days Part of work done by B in a day = $\frac{1}{28}$ Part of work done by A and B in first 2 days = $\frac{1}{21}$ + $\frac{1}{28}$ = $\frac{4+3}{84}$ = $\frac{1}{12}$ Time taken by A and B to work on alternative days = 2 × 12 = 24 days Hence, the correct answer is 24 days.
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Question : Akbar can complete a piece of work alone in 12 days, while Anthony can complete the same work alone in 20 days. If they work on alternate days with Anthony starting the work, then in how many days can they complete the whole work?
Option 1: $15$ days
Option 2: $16$ days
Option 3: $14 \frac{4}{5}$ days
Option 4: $15 \frac{1}{5}$ days
Question : X alone can complete a piece of work in 16 days, while Y alone can complete the same work in 24 days. They work on alternate days starting with Y. In how many days will 50% of the total work be completed?
Option 1: $\frac{24}{3}$ days
Option 2: $\frac{29}{3}$ days
Option 3: $\frac{32}{3}$ days
Option 4: 9 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 : S alone can do a piece of work in 14 days. T alone can do the same work in 21 days. U alone can do the same work in 28 days. Working together, in how many days will they complete the work?
Option 1: $\frac{84}{13}$ days
Option 2: $\frac{77}{13}$ days
Option 3: $\frac{71}{13}$ days
Option 4: $\frac{87}{13}$ days
Question : A and B together complete a work in 20 days, B and C together complete the same work in 30 days, and C and A together complete the same work in 24 days. In how many days A, B, and C together can complete the same work?
Option 1: 8 days
Option 2: 16 days
Option 3: 12 days
Option 4: 15 days
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