[tex]Answer: \text{Sloth covers }9\frac{3}{8}\text{in 90 minutes.}[/tex]
Explanation :
Since we have given that
[tex]\text{in 1 hour sloth may move = }\frac{250}{5\times 8}[/tex]
[tex]\text{ In 60 minutes , sloth may move = }\frac{25}{4}[/tex]
[tex]\text{ In 1 minute, it may move = }\frac{25}{4\times 60}\\\\\text{ In 1 minute, it may move = }\frac{5}{48}[/tex]
[tex]\text{ In 90 minutes, it may move}\\=\frac{5\times 90}{48}\\ \\=\frac{75}{8}\\\\=9\frac{3}{8}[/tex]
∴ [tex]\text{Sloth covers }9\frac{3}{8}\text{in 90 minutes.}[/tex]