Question : A, B, and C working alone, can complete a job in 16, 24, and 36 days, respectively. In how many days can they complete the job if they work together?
Option 1: $7 \frac{11}{19}$
Option 2: $5 \frac{17}{19}$
Option 3: $4 \frac{13}{19}$
Option 4: $6 \frac{7}{19}$
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Correct Answer: $7 \frac{11}{19}$
Solution : Given: A, B, and C working alone, can complete a job in 16, 24, and 36 days. 1 day work of A = $\frac{1}{16}$ 1 day work of B = $\frac{1}{24}$ 1 day work of C = $\frac{1}{36}$ 1 day work of A + B + C = $\frac{1}{16}+\frac{1}{24}+\frac{1}{36}$ = $\frac{9+6+4}{144}=\frac{19}{144}$ When they work together, they will finish the work in $\frac{144}{19}=7\frac{11}{19}$ days. Hence, the correct answer is $7\frac{11}{19}$.
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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 and B can do a piece of work in 18 days, B and C in 24 days and A and C in 36 days. Working together, they can do the work in:
Option 1: 12 days
Option 2: 13 days
Option 3: 16 days
Option 4: 26 days
Question : A and B can complete a piece of work in 13 and 17 days respectively. A begins to do the work, and they work alternatively one at a time for one day each. The whole work will be completed in:
Option 1: $17 \frac{11}{17}$ days
Option 2: $17 \frac{17}{19}$ days
Option 3: $14 \frac{11}{17}$ days
Option 4: $11 \frac{11}{17}$ days
Question : To do a certain work, the ratio of the efficiencies of A and B is 7 : 5. Working together, they can complete the same work in $17 \frac{1}{2}$ days. A alone will complete 60% of the same work in:
Option 1: 18 days
Option 2: 15 days
Option 4: 21 days
Question : Pawan can do a piece of work in 32 days. He worked for 8 days and left the work. Thereafter Sandeep finished the remaining work in 27 days. In how many days can Pawan and Sandeep together do the whole work?
Option 1: $16 \frac{16}{17}$ days
Option 2: $16 \frac{13}{17}$ days
Option 3: $16 \frac{15}{17}$ days
Option 4: $16 \frac{14}{17}$ days
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