Answer:
A cyclist will travel 195.5232 miles in one year.
Step-by-step Explanation:
Solving the problem requires a lot of conversion. Let's start by converting cm into miles.
1. [tex]\frac{1 cm}{sec}[/tex] × [tex]\frac{1 m}{100 cm}[/tex] = [tex]\frac{0.01 m}{sec}[/tex]
2. [tex]\frac{0.01 m}{sec}[/tex] × [tex]\frac{1 km}{1,000 m}[/tex] =[tex]\frac{0.00001 km}{sec}[/tex]
3. [tex]\frac{0.00001 km}{sec}[/tex] × [tex]\frac{0.62 miles}{km}[/tex] = [tex]\frac{0.0000062 miles}{sec}[/tex]
Now, that we already have the value in miles, let's convert second to a year.
4. [tex]\frac{0.0000062 miles}{sec}[/tex] × [tex]\frac{60 sec}{min}[/tex] = [tex]\frac{0.000372 miles}{min}[/tex]
5. [tex]\frac{0.000372 miles}{min}[/tex] × [tex]\frac{60 min}{hour}[/tex] = [tex]\frac{0.02232 miles}{hour}[/tex]
6. [tex]\frac{0.02232 miles}{hour}[/tex] × [tex]\frac{24 hours}{day}[/tex]= [tex]\frac{0.53568 miles}{day}[/tex]
7. [tex]\frac{0.53568 miles}{day}[/tex] × [tex]\frac{365 days}{year}[/tex] = [tex]\frac{195.5232 miles}{year}[/tex] or 195.5232 [tex]\frac{miles}{year}[/tex] = answer
