[tex]x - lungimea \: drumului[/tex]
[tex]0.(3) \times x = \frac{3}{9} \times x = \frac{x}{3} \: (prima \: zi)[/tex]
[tex]x - \frac{x}{3} = \frac{3x}{3} - \frac{x}{3} = \frac{3x - x}{3} = \frac{2x}{3} \: (rest)[/tex]
[tex] \frac{40}{100} \times \frac{2x}{3} = \frac{2}{5} \times \frac{2x}{3} = \frac{2 \times 2x}{5 \times 3} = \frac{4x}{15} \: (a \: doua \: zi)[/tex]
[tex] \frac{x}{3} + \frac{4x}{15} + 2.4 = x \: | \times 15[/tex]
[tex]5x + 4x + 36 = 15x[/tex]
[tex]15x - 5x - 4x = 36[/tex]
[tex]6x = 36[/tex]
[tex]x = \frac{36}{6} [/tex]
[tex]x = 6 \: km[/tex]
