Emily's vacuum cleaner has a power rating of 200 watts. If the vacuum cleaner does 360000 joules of work, how long did Emily spend vacuuming?

To answer this, we need to know the formula of the relationship between the work and the power rating and time.

The formula is:

E (J) = P (W) * t (s)

360000 = 200 * t

t = 360000 / 200

t = 1800 s

So, Emily will spend 1800 seconds in vacuuming. It is also equivalent to 30 minutes.