Question : Ram can complete a piece of work in 18 days, Reena can complete the same work in 12 days, and with the help of Shyam, they finish the same work in 6 days. In how many days can Shyam alone complete the same work?
Option 1: 42 days
Option 2: 36 days
Option 3: 30 days
Option 4: 24 days
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Correct Answer: 36 days
Solution : Time taken by Ram alone to complete the work = 18 days ⇒ Part of work done by Ram alone in a day = $\frac{1}{18}$ Time taken by Reena alone to complete the work = 12 days ⇒ Part of work done by Reena alone in a day = $\frac{1}{12}$ Let the time taken by Shyam alone to complete the work = $x$ days ⇒ Part of work done by Shyam alone in a day = $\frac{1}{x}$ Time taken by Ram, Reena and Shyam together to complete the work = 6 days ⇒ Part of work done by Ram, Reena, and Shyam in a day = $\frac{1}{6}$ So, $\frac{1}{18}+\frac{1}{12}+\frac{1}{x}=\frac{1}{6}$ $⇒\frac{1}{x}=\frac{1}{6}-\frac{2+3}{36}=\frac{1}{36}$ $\therefore x= 36$ days Hence, the correct answer is 36 days.
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Question : A can finish a work in 15 days, B can finish the same work in 25 days. They work together for 5 days. The rest of the work is finished by A and C in 4 days. Then C alone can finish the work in:
Option 1: 18 days
Option 2: 24 days
Option 3: 20 days
Option 4: 21 days
Question : Three people A, B, and C worked together and finished a work in 9 days. If A alone can finish the same work in 18 days, and B alone in 30 days, then the number of days C alone will take is:
Option 1: 36 days
Option 2: 45 days
Option 3: 40 days
Option 4: 54 days
Question : Jason can do a piece of work alone in 23.4 days, while Rafique can do the same piece of work alone in 39 days. In how many days can the duo, complete the same work if they work together?
Option 1: 14.750
Option 2: 14.625
Option 3: 14.875
Option 4: 14.375
Question : A can complete a piece of work in 9 days. B and C can complete the same work in 12 days and 18 days respectively. If A, B, and C work together, then in how many days will they complete the work?
Option 1: 10 days
Option 2: 8 days
Option 3: 4 days
Option 4: 15 days
Question : George can do 35% of the total work in 6 days, Jim and George together completed a piece of work in 12 days. In how many days could Jim, working alone, complete the entire task?
Option 1: 36
Option 2: 40
Option 3: 42
Option 4: 45
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