Question : A, B, and C together can finish a piece of work in 20 days. A alone can finish the work in 40 days. What part of the work B and C together can finish in a day?
Option 1: $\frac{1}{5}$
Option 2: $\frac{1}{20}$
Option 3: $\frac{1}{10}$
Option 4: $\frac{1}{40}$
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Correct Answer: $\frac{1}{40}$
Solution : A, B, and C per day work = $\frac{1}{20}$ A's working rate per day = $\frac{1}{40}$ The work rate of B and C together = $\frac{1}{20} - \frac{1}{40}$ = $\frac{1}{40}$ Hence, the correct answer is $\frac{1}{40}$.
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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 : Rahul alone can complete a work in 10 days and Sonu alone can complete the same work in 15 days. If they work together for 4 days, then what part of total work is left?
Option 1: $\frac{2}{3}$
Option 2: $\frac{1}{5}$
Option 3: $\frac{1}{3}$
Option 4: $\frac{2}{5}$
Question : A can finish a work in 25 days, and B can do the same work in 15 days. B worked for 10 days and left the job. A alone can finish the remaining work in how many days?
Option 1: $7 \frac{1}{3}$ days
Option 2: $6 \frac{1}{3}$ days
Option 3: $8 \frac{1}{3}$ days
Option 4: $5 \frac{1}{3}$ 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 : 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
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