Question : Abraham can complete a work in 9 days, while Andrew can complete the same work in 6 days. In how many days can they complete the work if they work together?
Option 1: $2$
Option 2: $3 \frac{3}{5}$
Option 3: $2 \frac{3}{5}$
Option 4: $3$
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Correct Answer: $3 \frac{3}{5}$
Solution : Time taken by Abraham to complete work = 9 days Time taken by Andrew to complete the same work = 6 days Efficiency of Abraham = $\frac{1}9$ Efficiency of Andrew = $\frac{1}6$ $\therefore$ Efficiency if both worked together = $\frac{1}9+\frac{1}6 =\frac{5}{18}$ So, the total time taken = $\frac{18}5$. Hence, the correct answer is $3\frac{3}{5}$.
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Question : P and Q together complete a job in $4 \frac{2}{5}$ days. R and S complete the same job in $4 \frac{8}{9}$ days. If P, Q, R, and S work together, how many days do they need to complete the same job?
Option 1: $2 \frac{7}{18}$
Option 2: $1 \frac{7}{18}$
Option 3: $1 \frac{6}{19}$
Option 4: $2 \frac{6}{19}$
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: $4 \frac{5}{7}$
Question : A can do a piece of work in 9 days, while B can do it in 12 days. A and B together can do the work in:
Option 1: $5\frac{1}{7}$ days
Option 2: $5\frac{2}{7}$ days
Option 3: $6\frac{1}{7}$ days
Option 4: $6\frac{2}{7}$ days
Question : 10 women can do a work in 6 days and 6 men can do the same work in 5 days. If all these men and women work together, then how many days will they take to finish this work?
Option 1: $2\frac{8}{11}$
Option 2: $4\frac{6}{11}$
Option 3: $1\frac{2}{11}$
Option 4: $3\frac{4}{11}$
Question : 15 men complete a work in 10 days. 15 women complete the same work in 12 days. If all these men and women work together, then the number of days required to complete that work is:
Option 1: $5\frac{5}{11}$
Option 2: $4\frac{3}{11}$
Option 3: $7\frac{2}{11}$
Option 4: $6\frac{4}{11}$
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