We are given
It takes a word processor 22 minutes to word process and spell check 4 pages
so, firstly we can find rate
total time =22 min
number pf pages =4
processing rate = ( number of pages)/( total time)
So, processing rate is

page /min
now, we are given total number of pages =26
Time = (total number of pages)/( processing rate)
so, time is

now, we can simplify it


So, the time taken to word process and spell check 26 pages is 143 min........Answer