NAME_1 rode his bike for 30 minutes and traveled a distance of 10 kilometers. Write the equation of the line that represents NAME_1's distance traveled based on the time spent riding his bike, and use that equation to determine how far he would have traveled if he rode for 60 minutes. Let's meticulously work this out, delving into each aspect in a detailed, step-by-step manner, ensuring that we arrive at the most accurate and thorough answer.