If we have the unit rate 25wrds/30secs, you would find the unit rate for one minute doing what the student did, which would be 50wrds/1min. So, since the original unit rate is increasing only by 30 seconds, it is 10 times you have to multiply it to get 5 minutes, and that would be 250wrds/5min.
(30+30+30+30+30+30+30+30+30+30)=5 min, and 10 30's