From the statement we know that Cathy can text messages at the following speed:
[tex]s=52\frac{w}{\min }[/tex]where, w = words, and min = minutes.
Now, if Cathy types at this rate for a time t = 20 min, she will type:
[tex]s\cdot t=52\frac{w}{\min}\cdot20\min =1040w[/tex]Answer: Cathy will type 1040 words.