Question

2 men or 3 women can do a piece of work in 10 days. In how many days can 4 men and 3 women do the work together ?

• A. 30 days
• B. 3.33 days
• C. 20 days
• D. 5.5 days

Answer 1

Answer: (B)

3.33 days

Work rate of 2 men = 100/10 = 10% per day.
Work rate of 4 men = 100*2 = 20% per day.
Work rate of 3 women = 100/10 = 10% per day.
Thus,
Work rate of 4 men and 3 women = 20 + 10 = 30% per day.
Work will complete in = 100/30 = 10/3 = 3.33 days.
Alternatively,
2 men or 3 women can do a piece of work in 10 days.
2 men do 1/10 of the job per day
4 men do 1/5 of the job per day
3 women do 1/10 of the job per day'4 men and 3 women do (1/5 + 1/10) = 3/10 of the job per day, so it takes them 10/3 days to finish.