Yes, I understand, Thank you for your help. I have been having problems with the LEDS burning out after 6-8 hrs use. I wasn`t sure how I should place the resisistor. You have helped me understand the maths.
I placed one resistor in series with the LED and I tested the draw it was 20mA, this wasn't enough to keep the battery on and it went off as predicted in 30 secs. I placed the 2nd resistor across the + and - of the power supply. This meant that I now had a current draw from the battery of 60mA, the resistors I used were both 150ohm brown,green,brown. I left the unit on for several minutes and there was no noticeable heat and the LED was not to bright.
Im sorry I sound a bit vacant!! but I`m struggling to get to grips with all this.
My last question is, Have I made a mistake,,,,is it ok to put the second resistor across the battery terminals like this or have I misunderstood you and I should have also put this in series with the other resistor.
I have attached a photo to show what I have done, the led is lit but I put my thumb over it as the red glow made the resistor colours look different.