Final answer:
Pedro spent 38 minutes on his language arts homework.
Step-by-step explanation:
Let's assume that Pedro spent x minutes on his math homework. According to the question, his language arts homework took him twice as long, so he spent 2x minutes on his language arts homework. The total time he spent on both subjects is 57 minutes. We can set up the equation x + 2x = 57. Combining like terms, we get 3x = 57. Divide both sides of the equation by 3 to solve for x, which gives us x = 19. So, Pedro spent 19 minutes on his math homework, and since his language arts homework took him twice as long, he spent 2 * 19 = 38 minutes on his language arts homework.