Question

A cyclist rides at the rate of 1cm per second how many miles will the cyclist travel in a year?

Answer 1

A cyclist will travel 195.5232 miles in one year.

Explanation:

Solving the problem requires a lot of conversion. Let's start by converting cm into miles.

1.
`(1 cm)/(sec)` ×
`(1 m)/(100 cm)` =
`(0.01 m)/(sec)`

2.
`(0.01 m)/(sec)` ×
`(1 km)/(1,000 m)` =
`(0.00001 km)/(sec)`

3.
`(0.00001 km)/(sec)` ×
`(0.62 miles)/(km)` =
`(0.0000062 miles)/(sec)`

Now, that we already have the value in miles, let's convert second to a year.

4.
`(0.0000062 miles)/(sec)` ×
`(60 sec)/(min)` =
`(0.000372 miles)/(min)`

5.
`(0.000372 miles)/(min)` ×
`(60 min)/(hour)` =
`(0.02232 miles)/(hour)`

6.
`(0.02232 miles)/(hour)` ×
`(24 hours)/(day)`=
`(0.53568 miles)/(day)`

7.
`(0.53568 miles)/(day)` ×
`(365 days)/(year)` =
`(195.5232 miles)/(year)` or 195.5232
`(miles)/(year)` = answer