Suppose she types x words in 6 minutes. Then, the given information can be represented in the following tabular form :
Number of words540xTime (in minutes)306
Since in more time more words can be typed, it is case of direct variation.
∴ Ratio of number of words = Ratio of number of minutes
⇒54030=x6⇒x=6×54030⇒x=108
Hence, she types 108 words in 6 minutes.