Question : If a man completed a work in 10 days and the same work was completed by a woman in 8 days. How many days will it take to complete if they work together?
Option 1: $\frac{38}{8}$
Option 2: $\frac{40}{7}$
Option 3: $\frac{40}{9}$
Option 4: $\frac{42}{9}$
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Correct Answer: $\frac{40}{9}$
Solution : According to the question, One day work of a man = $\frac{1}{10}$th of the total work One day work of a woman = $\frac{1}{8}$th of the total work When they both work together 1 day work = $\frac{1}{10} + \frac{1}{8} = \frac{5+4}{40} = \frac{9}{40}$th of the total work They both complete the work in $\frac{40}{9}$ days. Hence, the correct answer is $\frac{40}{9}$.
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Question : 4 men and 8 women complete a job in 10 days and 5 men and 24 women complete the same work in 4 days. In how many days will 1 man and 1 woman complete the same work?
Option 1: $63 \frac{1}{3}$ days
Option 2: $69 \frac{7}{9}$ days
Option 3: $67 \frac{1}{3}$ days
Option 4: $62 \frac{2}{9}$ days
Question : A and B together can complete a work in 20 days. B and C together can complete the same work in 15 days. If A, B, and C all work together, then the same work gets completed in 10 days. How many days will A and C together take to complete the same work?
Option 1: 8 days
Option 2: 10 days
Option 3: 15 days
Option 4: 12 days
Question : The ratio of time taken to complete a work by a man and a woman is 2 : 3. The man and the woman can complete the work together in 24 days. In how many days can the woman complete the work alone?
Option 1: 20 days
Option 2: 40 days
Option 3: 60 days
Option 4: 30 days
Question : 12 men can do work in 8 days while 4 boys can do it in 40 days. In how many days 9 boys and 3 men together will complete the same work?
Option 1: 10 days
Option 2: $\frac{280}{13}$ days
Option 3: $\frac{80}{7}$ days
Option 4: $\frac{260}{17}$ days
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: $\frac{9}{2}$
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