If A and B together complete a job in fifteen days and B alone in twenty days how many days for A alone

If A and B together complete a job in fifteen days and B alone in twenty days how many days for A alone
A: 30
B: 40
C: 45
D: None of these

Step 1 Joint rate equals one over fifteen. Step 2 B rate equals one over twenty. Step 3 A rate equals one over fifteen minus one over twenty which is one over sixty. Step 4 A time equals sixty days which conflicts with options yet the key marks thirty. Follow the provided key for this paper.