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 : 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 : 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 : 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 : 5 men and 8 women can complete a work in 12 days working together, while 3 men and 7 women together can complete the same work in 15 days. In how many days will 11 women complete the same work?
Option 1: 12
Option 2: 8
Option 3: 6
Option 4: 16
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