A team of workers was employed by a contractor who undertook to finish 360 pieces of an article in a certain number of days. Making four mo…

Let’s assume they make x pieces per day


So, number of days to finish the article = 360/x


Now, pieces = x + 4


So number of days to finish the article = 360/(x + 4)


Given:


$(\begin{array}{l} \frac{{360}}{x} - \frac{{360}}{{\left( {x + 4} \right)}}\ = 1\\ \Rightarrow {x^2} + 4x - 1440\; = 0 \end{array})$


⇒ x = 36


Now, pieces = x + 36 = 36 + 36 = 72

So number of days to finish the article = 360/72 = 5 days.