Question : A can do a job in 36 days and B in 12 days. If they work together, in how many days will they be able to do the work?
Option 1: 8
Option 2: 6
Option 3: 10
Option 4: 9
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Correct Answer: 9
Solution : Given: A's work in a day is $\frac{1}{36}$ unit. B works in one day is $\frac{1}{12}$ unit. Together, A and B's work in a day = $(\frac{1}{36}+\frac{1}{12})= (\frac{1+3}{36})=\frac{4}{36}=\frac{1}{9}$ unit. Together, A and B can complete the work in $\frac{1}{\frac{1}{9}}$ = 9 days. Hence, the correct answer is 9.
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Question : 2 men can finish a work in 6 days and 3 women can finish the same work in 4 days. How many days will 1 man and 2 women finish the work if they work together daily?
Option 1: 4
Option 3: 8
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 : 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 : 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 : Ram and Ramesh can do work in 12 days, Ramesh and Somesh in 15 days and Somesh and Ram in 10 days. If Ram, Ramesh, and Somesh work together, in how many days will they complete the work?
Option 1: 10
Option 2: 8
Option 3: 12
Option 4: 6
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