Question

The time taken by 4 men to complete a job is double the time taken by 5 children to complete the same job. Each man is twice as fast as a woman. How long will 12 men, 10 children and 8 women take to complete a job, given that a child would finish the job in 20 days?

• A. 2 days
• B. 3 days
• C. 4 days
• D. 5 days
• E. 1 day

Answer 1

The correct option is E

1 day

Time taken by 5 children to complete the job = 4 days

Time taken by 4 men to complete the job = 8 days

Time taken by 4 women to complete the job = 16 days

Time taken by 12 men, 10 children and 8 women = $\frac{12}{32}+\frac{10}{20}+\frac{8}{64}=1day$