Question

It takes Brad 2 hours to mow his lawn. It takes Kris 3 hours to mow the same lawn. At the same pace, how long would it take them to mow the lawn if they do the job together?

Answer 1

It would take them `1.2` hours if they worked together.

Explanation:

For problems like these, we consider what fraction of the work can be done in one hour.

Call the time it takes them to mow the lawn together `x`.

`1/2 + 1/3 = 1/x`

`3/6 + 2/6= 1/x`

`5x = 6`

`x = 6/5 -> 1.2" hours"`

Hopefully this helps!