Question

What is the unit rate for someone who can type 8,580 words in 2 hours and 45 minutes?

Answer 1

`52` words per minute.

Explanation:

As `2` hours and `45` minutes are equivalent to `2xx60+45=165` minutes, this means that

someone can type `8580` words in `165` minutes and hence

in one minute the person can type `8580/165=(8580-:5)/(165-:5)` (as numerator and denominator are clearly divisible by `5`)

or `1716/33` words.

Again, numerator and denominator are both divisible by `3` and `11` too, this is equivalent to

`(52cancel(572)cancel(1716))/(1cancel(11)cancel(33))` or `52` words per minute.