Question

If 5 persons can do 5 jobs in 5 days then 50 persons can do 50 jobs in how much days

Answer 1

$\begin{array}{|c|c|c|}\cline{1-3}Persons&Jobs&Days\\\cline{1-3}5&5&5\\50&50&x\\\cline{1-3}\end{array}$

$\text{Here, more person means less days}$

$\text{So, it is inverse proportion}$

$\implies\text{Multiplying factor is }\frac{5}{50}$

$\text{Also, more jobs means more days}$

$\text{So, it is direct proportion}$

$\implies\text{Multiplying factor is }\frac{50}{5}$

$x=5{\times}\frac{5}{50}{\times}\frac{50}{5}=5$

$\therefore\text{They will complete the jobs in 5 days}$