Question : A and B can do a job in 10 days and 5 days, respectively. They worked together for two days, after which B was replaced by C and the work was finished in the next three days. How long will C alone take to finish 40% of the job?
Option 1: 18 days
Option 2: 12 days
Option 3: 15 days
Option 4: 10 days
Correct Answer: 12 days
Solution : Total Work = Least Common Multiple of 10 and 5 = 10 Efficiency of A = $\frac{10}{10}$ = 1 unit/day Efficiency of B = $\frac{10}{5}$ = 2 units/day A and B work for 2 days = (1 + 2) × 2 units = 6 units Remaining work = (10 – 6) units = 4 units A and C can complete the remaining work in 3 days A and C one day work = $\frac{4}{3}$ C one day work = $\frac{4}{3}-1$ = $\frac{1}{3}$ C can complete 40% of work with efficiency of $\frac{1}{3}$ = $\frac{\frac{40}{100}\times10}{\frac{1}{3}}$ = 12 days Hence, the correct answer is 12 days.
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Question : A and B can do a job in 10 days and 5 days, respectively. They worked together for two days, after which B was replaced by C and the work was finished in the next three days. How long will C alone take to finish 60% of the job?
Option 2: 30 days
Option 3: 25 days
Option 4: 24 days
Question : A can complete one-third of a work in 10 days and B can do $\frac{3}{5}$ th of the same work in 24 days. They worked together for 10 days. The remaining work was completed by C alone in 15 days. In how many days can C alone do $\frac{2}{3}$rd of the same work?
Option 1: 27
Option 2: 24
Option 3: 30
Option 4: 32
Question : A alone can complete a work in 18 days and B alone in 15 days. B alone worked at it for 10 days and then left the work. In how many more days, will A alone complete the remaining work?
Option 1: $5$ days
Option 2: $5\frac{1}{2}$ days
Option 3: $6$ days
Option 4: $8$ days
Question : A is twice as efficient as B and C is thrice as efficient as B. Working together, they can finish a certain work in 5 days. A and C worked together for 5 days. B alone would complete the remaining work in ____.
Option 1: 8 days
Option 2: 5 days
Option 3: 6 days
Option 4: 4 days
Question : A and B can do a piece of work in 10 days. B and C can do it in 12 days. C and A in 15 days. In how many days will C finish it alone?
Option 1: 24 days
Option 3: 40 days
Option 4: 60 days
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