Question

Six men can complete a job in two days. Four boys can complete the same job in eight days. In how many

days would three men and six boys, working together, be able to complete the job?​

Answer 1

Answer:

2 2/7 days

Step-by-step explanation:

When 6 men can complete a task in two days, the work requires 12 man/days.

So a man can complete 1/12 of task in 1 day.

3 men can complete 1/12*3=1/4 of task in 1 day

When 4 children can complete a task in 8 days, the task requires 32 children/days.

So a child can complete 1/32 of task in 1 day.

6 children can complete 1/32*6=6/32=3/16 of task in 1 day

3 men and 6 children together can complete 1/4+3/16=(4+3)/16=7/16 of task in 1 day

3 men and 6 children together can complete the entire task in 16/7=2 2/7 days