[tex] \large \mathfrak{Solution : }[/tex]
let the total time taken to paint the bookcase be x
now ,
- [tex] \dfrac{40}{100} \times x = 20[/tex]
- [tex] \dfrac{2}{5} \times x = 20[/tex]
- [tex]x = 20 \times \dfrac{5}{2} [/tex]
- [tex]x = 50 \: \: min[/tex]
the required equation is :
- [tex] \boxed{ \boxed{ \frac{40}{100} \times x = 20}}[/tex]