How to back-up PS1 games, and have the back-ups work on PS3?

Okay, so I use a program called CloneCD I found online whilst browsing for an answer. I loaded the original disc into my cd/dvd drive and pressed the "Read To Image File" button. After the read finished I loaded in a black CD-R (because PS1 games were made on CD-R's) and then proceeded to click the "Write From Image File" button and after the write finished it said it was successful. However, after I finished it I loaded it into my PS3 (new 160GB btw) and it wouldn't read it. I had a thought that maybe it was just because a PS3 didn't have the ability to play a copy of a PS1 game (didn't really make sense but it was a hunch), so I tried it in a PS2 and still no luck. Neither system read it so I scrapped it. Before I go wasting lots of CD-R's with testing, I would like to see if anyone has backed up a copy of a PS1 game successfully and had it play on a PS3? Thanks in advance! :)