Income tax and second job

Hi

I've currently working in a 20 hour job a week and earn minimum wage. I've just been offered a 1second job which is 10 hours a week which again is minimum wage. However I'm not sure how if I will have to pay any income tax. I will still be earning below the personal allowance that is allowed but will I have to pay any tax say on my second job? I've had a read through many websites regarding this and still can't get my head around it.

Any help?