Question : A, B, and C can separately complete a work in 12, 15, and 20 days, respectively. They worked together for 4 days. What will be the remaining work?
Option 1: $\frac{1}{2}$
Option 2: $\frac{1}{5}$
Option 3: $\frac{1}{6}$
Option 4: $\frac{1}{8}$
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Correct Answer: $\frac{1}{5}$
Solution : Given: A, B, and C can separately complete a work in 12,15, and 20 days, respectively. Efficiency of A = $\frac{1}{12}$ Efficiency of B = $\frac{1}{15}$ Efficiency of C = $\frac{1}{20}$ 4 days work of A, B, and C = $4×(\frac{1}{12}+\frac{1}{15}+\frac{1}{20})=\frac{4}{5}$ Remaining work = $1–\frac{4}{5}=\frac{1}{5}$ Hence, the correct answer is $\frac{1}{5}$.
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Question : A, B, and C can separately do work in 6, 10, and 15 days respectively. They started to work together but C left after 2 days. In how many days will the remaining work be finished?
Option 1: $1 \frac{2}{4}$
Option 2: $1 \frac{1}{4}$
Option 3: $1 \frac{5}{8}$
Option 4: $2 \frac{7}{4}$
Question : A can do $\frac{1}{3}$ of a work in 30 days. B can do $\frac{2}{5}$ of the same work in 24 days. They worked together for 20 days. C completed the remaining work in 8 days. Working together A, B and C will complete the same work in:
Option 1: 15 days
Option 2: 10 days
Option 3: 18 days
Option 4: 12 days
Question : A and B can do a piece of work in 5 days and 10 days, respectively. They began the work together but A left after some days and B finished the remaining work in 8 days. After how many days did A leave?
Option 1: $3\frac{1}{8}$
Option 2: $5\frac{1}{8}$
Option 3: $6\frac{1}{8}$
Option 4: $\frac{2}{3}$
Question : A, B, and C can do a job in 6 days, 12 days and 15 days respectively. After $\frac{1}{8}$th of the work is completed, C leaves the job. The rest of the work is done by A and B together. The time taken to finish the work is:
Option 1: $5\frac{5}{6}$ days
Option 2: $5\frac{1}{4}$ days
Option 3: $3\frac{1}{2}$ days
Option 4: $3\frac{3}{4}$ days
Question : P, Q, and R can complete a piece of work in 10 days, 15 days, and 20 days, respectively. If they work together, in how many days can they finish the same work?
Option 1: $4 \frac{8}{13}$
Option 2: $4 \frac{3}{7}$
Option 3: $4 \frac{7}{13}$
Option 4: $4 \frac{5}{7}$
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