Question : A can complete a task at the same time in which B and C work together. If A and B could complete it jointly in 10 days and C alone in 50 days, then B could complete it independently in:
Option 1: 26 days
Option 2: 27 days
Option 3: 25 days
Option 4: 23 days
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Correct Answer: 25 days
Solution : (A + B)'s 1 day's work $= \frac{1}{10}$ C's 1 day's work $= \frac{1}{50}$ ⇒ (A + B + C)'s 1 day's work $= \frac{1}{10} +\frac{1}{50}= \frac{6}{50} =\frac{3}{25}$ ............ (1) A's 1 day's work = (B + C)'s 1 day's work .................. (2) From (1) and (2) we get, 2 $\times$ (A's 1 day's work) $= \frac{3}{25}$ ⇒ A's 1 day's work $= \frac{3}{50}$ ⇒ B's 1 day's work $=\frac{1}{10} - \frac{3}{50} =\frac{1}{25}$ So, B can complete the work in 25 days. Hence, the correct answer is 25 days.
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Question : A and B together can complete a work in 20 days. B and C together can complete the same work in 15 days. If A, B, and C all work together, then the same work gets completed in 10 days. How many days will A and C together take to complete the same work?
Option 1: 8 days
Option 2: 10 days
Option 3: 15 days
Option 4: 12 days
Question : Ali, Avtar Singh, and Ashok working together can finish a work in 8 days. Ali alone can do it in 20 days and Avtar Singh alone can do it in 24 days. In how many days can Ashok alone do the same work?
Option 1: 30
Option 2: 28
Option 3: 26
Option 4: 25
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 : 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 : 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
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