Tom has a job. He is a button pusher. He works for 8 hours per day. his job at work is simply to push a button. He has some freedoms and some limitations. When he arrives to work each day he has 5 button pushes in his bank. Each time he pushes the button he gets a reward. He can push the button as often as he would like, until it gets to zero, then pushing the button does nothing. Every 5 minutes he gets 1 push added to his bank, however his bank cannot exceed 5 pushes. Tom wants to know if he would get more rewards total in 8 hours if he a)pressed the button 5 times as soon as he got to work and then every 5 minutes after that, or b)he paced himself, pressing it every X minutes:seconds, pressing it only often enough to never reach 0 in the bank. And what would X be?
My problem is that i cant figure out how to get to x. I am almost 30 and haven't done much math since highschool. would I be on the correct path if i first started with how many times 25 goes into 8 hours? (the 60 minutes in an hour is really throwing a curve ball at me)
Also I am new to this site, I found it on google, so I really feel welcome when I start receiving down votes from users and no reasoning why. I will look elsewhere for help next time, thanks.