Question : Rama alone can do a work in 5 days working 4 hours a day. Seema alone can do the same work in 3 days working 10 hours a day. How many hours do they need to work together in a day to complete the same work in 6 days?
Option 1: 1 hour
Option 2: 3 hours
Option 3: 5 hours
Option 4: 2 hours
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Correct Answer: 2 hours
Solution : Rama's work = 5 × 4 = 20 hours Seema's work = 3 × 10 = 30 hours Hourly work of Rama = $\frac{1}{20}$ Hourly work of Seema = $\frac{1}{30}$ Combined one hour work of Rama and Seema $=\frac{1}{20}+\frac{1}{30}=\frac{2+3}{60}=\frac{1}{12}$ If they want to finish the work in 6 days at the rate of $\frac{1}{12}$ per hour, they need to work hourly per day $=\frac{1}{6\times\frac{1}{12}}= 2$ Hence, the correct answer is 2 hours.
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Question : If 4 men or 6 women can do a piece of work in 12 days, working 7 hours a day. How many days will it take to complete a work twice as large, with 10 men and 3 women working together 8 hours a day?
Option 1: 6 days
Option 2: 7 days
Option 3: 8 days
Option 4: 10 days
Question : 30 women working 5 hours a day can complete a work in 18 days, In how many days will 21 women working 8 hours a day complete the same work?
Option 1: $18 \frac{7}{13}$ days
Option 2: $17 \frac{11}{13}$ days
Option 3: $16 \frac{1}{14}$ days
Option 4: $13 \frac{3}{14}$ days
Question : Rahul alone can complete a work in 10 days and Sonu alone can complete the same work in 15 days. If they work together for 4 days, then what part of total work is left?
Option 1: $\frac{2}{3}$
Option 2: $\frac{1}{5}$
Option 3: $\frac{1}{3}$
Option 4: $\frac{2}{5}$
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 : If 7 people working 4 hours a day can complete a task in 14 days. The number of days taken by 12 people working 8 hours a day will be:
Option 1: $5 \frac{1}{8}$ days
Option 2: $8$ days
Option 3: $4 \frac{1}{12}$ days
Option 4: $7 \frac{1}{4}$ days
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