Question : A can do work in 18 days and B in 24 days. If they work on it together for 5 days, then find the fraction of the work that is left.
Option 1: $\frac{35}{72}$
Option 2: $\frac{7}{72}$
Option 3: $\frac{37}{72}$
Option 4: $\frac{33}{72}$
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Correct Answer: $\frac{37}{72}$
Solution : Given: A can do a work in 18 days and B in 24 days. Efficiency of A = $\frac{1}{18}$ Efficiency of B = $\frac{1}{24}$ Combined efficiency of A and B = $\frac{1}{18}+\frac{1}{24}$ = $\frac{7}{72}$ Hence, total work done in 5 days = $5\times \frac{7}{72}=\frac{35}{72}$ Fraction of work remaining = $1-\frac{35}{72}$ = $\frac{37}{72}$ Hence, the correct answer is $\frac{37}{72}$.
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Question : A can do $\frac{7}{8}$ of work in 28 days, and B can do $\frac{5}{6}$ of the same work in 20 days. The number of days they will take to complete if they do it together is:
Option 1: $15\frac{3}{7}$ days
Option 2: $17\frac{3}{5}$ days
Option 3: $14\frac{5}{7}$ days
Option 4: $13\frac{5}{7}$ 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 do 75% of a job in 9 days and B can do half of the job in 8 days. If they work on it together then in how many days can they do half of the job?
Option 1: $\frac{40}{7}$
Option 2: $\frac{24}{7}$
Option 3: $\frac{7}{2}$
Option 4: $\frac{9}{2}$
Question : P, Q, and R can complete a work alone in 12,15, and 20 days respectively. They started the work together. P left the work 8 days before the work was completed and Q left the work 5 days after P had left. R completed the remaining work alone. How many days will be required to complete the whole work?
Option 1: $\frac{32}{3}$ days
Option 2: $10$ days
Option 3: $\frac{28}{3}$ days
Option 4: $\frac{25}{3}$ 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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