KöMaL 2009 K221

If Sunny does not wear any sunscreen, her skin will get burnt after 12 minutes of sunbathing. One time she started sunbathing with a non-waterproof cream of factor 12. Then she took a shower. For the rest of the time she put on a cream factor 20. Thus she was able to spend 208 minutes in the sun altogether without getting burnt. For how many minutes did she wear each cream? (The sun protection factor shows what fraction of the harmful [UV-B] rays reach the skin through the cream. For example factor 20 lets through one-twentieth of the radiation.)