Let's solve this step by step problem about two people writing together. Person A and Person B work together for 6 hours and write a total of 360 characters. We know that Person A writes 20 more characters per hour than Person B. We need to find how many characters each person writes per hour.
Now let's set up our variables. Let x represent the number of characters that person B writes per hour. Since person A writes 20 more characters per hour than person B, person A writes x plus 20 characters per hour. In 6 hours, person B writes 6x characters total, and person A writes 6 times x plus 20 characters total. The sum of their work equals 360 characters.
Now let's solve the equation step by step. Starting with 6x plus 6 times x plus 20 equals 360. First, we expand the parentheses to get 6x plus 6x plus 120 equals 360. Next, we combine like terms to get 12x plus 120 equals 360. Then we subtract 120 from both sides to get 12x equals 240. Finally, we divide both sides by 12 to get x equals 20.