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
![=(4)/(22)](https://img.qammunity.org/2019/formulas/mathematics/high-school/7yqx6aius9pyxcgqnqo0qk2ewpkwv2m6ki.png)
page /min
now, we are given total number of pages =26
Time = (total number of pages)/( processing rate)
so, time is
![=(26)/((2)/(11))](https://img.qammunity.org/2019/formulas/mathematics/high-school/94sji8gknk4js6oc6i8f2xejugxyaz77vs.png)
now, we can simplify it
![=(26)/((2)/(11))](https://img.qammunity.org/2019/formulas/mathematics/high-school/94sji8gknk4js6oc6i8f2xejugxyaz77vs.png)
![=143](https://img.qammunity.org/2019/formulas/mathematics/high-school/wbn5hd3g6z98pglb9u2nc88pfd5fnwxuda.png)
So, the time taken to word process and spell check 26 pages is 143 min........Answer