Answer:
Speed = 0.895 feet per minute
Step-by-step explanation:
Distance covered by the sloth = 38 of a foot
= [tex]\frac{1}{38}[/tex] foot
Time taken to move this distance = 34 of a minute
= [tex]\frac{1}{34}[/tex] minute
Since, formula for the speed is,
Speed = [tex]\frac{\text{Distance covered}}{\text{Time taken}}[/tex]
= [tex]\frac{\frac{1}{38}}{\frac{1}{34}}[/tex]
= [tex]\frac{1}{38}\times \frac{34}{1}[/tex]
= [tex]\frac{17}{19}[/tex]
= 0.895 feet per minute