if x=hours, the amount of money he needs is 10 +38*x
he can spend at most 200, so:
[tex]\begin{gathered} 10+38x\leq200 \\ \end{gathered}[/tex]and now we can solve:
[tex]\begin{gathered} 38x\leq200-10 \\ 38x\leq190 \\ x\leq\frac{190}{38} \\ x\leq5 \end{gathered}[/tex]so the answer is: he can rent the canoe at most 5 hours