Question

4 rods in 11 seconds means how many minutes in a mile?

Answer 1

`14 2/3` minutes in every mile

Explanation:

A rod is equal to `16 1/2` feet.

https://en.wikipedia.org/wiki/Rod_(unit)

And so we can get to minutes per mile this way:

`(4 cancel(" rods"))/(11 cancel" seconds")xx(16.5 cancel" feet")/(1 cancel" rod")xx(1 " mile")/(5280 cancel" feet")xx(60 cancel" seconds")/(1 " minute")`

`(4xx16.5xx60)/(11xx5280)("miles"/"minutes")=(3960 " miles")/(58080 " minutes")`

We want minutes in a mile, so let's invert the fraction and also reduce:

`(58080 " minutes")/(3960 " miles")=(44 " minutes")/(3 " miles")`

44 minutes in 3 miles means it's `14 2/3` minutes for every mile