Respuesta :
We have to write the conthitions that are given to us so:
1) 8 small (S) and 6 large (L) finish in one day so we can write it like:
[tex]8S+6L=1[/tex]2) a small (S) takes 4 days more than a large (L) one to do the same work so we can put it like:
[tex]\begin{gathered} L=x \\ S=x+4 \end{gathered}[/tex]we solve the secon one for x so:
[tex]S-4=x[/tex]then we can make the equation equal:
[tex]L=S-4[/tex]we can replace this expretion into the first equation to know how long it would take to do it just with small trucks so:
[tex]8S+6(S-4)=1[/tex]and we solve for S so:
[tex]\begin{gathered} 8S+6S-24=1 \\ 14S=25 \end{gathered}[/tex]this means that 14 small trucks would take 25 days to finish the work so now we can made a rule of 3 to find the tame that takes to just one truck so:
[tex]\begin{gathered} 14\to25 \\ t=14\cdot25=350 \end{gathered}[/tex]it would take 350 days to finis the work for one small truck
