Question : A can do work in 12 days and B in 20 days. If they together work on it for 5 days and the remaining work is completed by C in 3 days, then in how many days can C do the same work alone?
Option 1: 10 days
Option 2: 9 days
Option 3: 12 days
Option 4: 15 days
Correct Answer: 9 days
Solution : Given: A can do a piece of work in 12 days and B in 15 days. Time taken by A = 12 days So, part of work done by A in 1 day = $\frac{1}{12}$ Time taken by B = 20 days So, part of work done by B in 1 day = $\frac{1}{20}$ Work done (A + B) in 1 day = $\frac{1}{12}+\frac{1}{20}$ ⇒ Work done (A + B) in 1 day = $\frac{5+3}{60}=\frac{8}{60}=\frac{2}{15}$ So, work done in 5 days = $\frac{2}{15}×5=\frac{2}{3}$ Remaining work = $1-\frac{2}{3}=\frac{1}{3}$ So, $\frac{1}{3}$ work is done by C in 3 days. Total work is done by C = 3 × 3 = 9 days Hence, the correct answer is 9 days.
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Question : A can do $\frac{4}{5}$th of a work in 20 days and B can do $\frac{3}{4}$th of the same work in 15 days. They work together for 10 days. C alone completes the remaining work in 1 day. B and C together can complete $\frac{3}{4}$th of the same work in:
Option 1: 6 days
Option 2: 8 days
Option 3: 5 days
Option 4: 4 days
Question : A can do $\frac{2}{5}$ of a work in 6 days and B can do $\frac{2}{3}$ of the same work in 12 days. A and B worked together for 6 days. C alone completed the remaining work in 8 days. A and C, working together, will complete the same work in:
Option 1: 9 days
Option 2: 12 days
Option 3: 10 days
Option 4: 8 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 can do $\frac{2}{5}$ of a work in 12 days while B can do $66 \frac{2}{3}\%$ of the same work in 16 days. They work together for 10 days. B alone will complete the remaining work in:
Option 2: 4 days
Option 3: 8 days
Option 4: 9 days
Question : A alone can complete a work in 10 days. B alone can do the same work in 12 days, and C alone can do the same work in 15 days. They jointly complete the work and earn Rs. 4500. What is the share of C?
Option 1: Rs. 1800
Option 2: Rs. 900
Option 3: Rs. 1200
Option 4: Rs. 1500
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