I'm not sure why yours didn't last as I've now had mine on for 15 days without any problem whatsoever. I have washed pots, had baths and showers etc. done all my housework without wearing any gloves at all and all 10 nails are still firmly in place.
I will say that I have found putting the nails on just before going to bed gives them longer to stick firmly without any chance of disturbing them from sticking properly and I follow the instructions to the letter. I have many different packs of these and rarely have any issues with them sticking for the time they state.