Answer:
Your travel time will be 32.71 secs.
Step-by-step explanation:
Let the total distance be x feet.
Speed while walking = [tex]\frac{x}{54}[/tex] feet per second
Speed on the sidewalk = [tex]\frac{x}{83}[/tex] feet per second
Therefore, total speed while walking on moving sidewalk =
[tex]\frac{x}{54} +\frac{x}{83y}[/tex]
= [tex]\frac{83x+54x}{54\times83}[/tex]
= [tex]\frac{137x}{4482}[/tex]
= [tex]\frac{x}{32.71}[/tex]
Hence, your travel time will be 32.71 secs.