Question

If $12$ men working $8$ hours a day can complete a task in $16$ days. If the same task must be completed in $8$ days, how many more people would be required if all them work for $12$ hours a day?

Answer 1

a work can be done by

12 men 3 hr in 16 days

same work

men 8 days for 12 hr

So,

$w_1=w_2$

$m_1{h}_1,d_1=m_2{h}_2{d}_2$

$12\times 8\times 16=m_2\times 8\times 12$

$m_2=16$