Final answer:
The maximum time the student can spend on English homework is 2/3 hour, according to the equation e + 2e ≤ 2 hours, where e is the time spent on English homework. It shows the importance of time management in students' academic performance.
Step-by-step explanation:
A student spends no more than 2 hours on his math and English homework combined, with math taking about twice as long as English. To find the maximum time the student can spend on English, we must set up an equation where the time spent on math is twice the time spent on English. Let's denote the time spent on English as 'e' hours, then math would take '2e' hours. The total time spent on both subjects cannot exceed 2 hours, described by the equation e + 2e ≤ 2. Simplifying this equation gives us 3e ≤ 2, which leads to e ≤ 2/3. Thus, the maximum time the student can spend on English is 2/3 hour.
Looking at the given options, answer D, which is 2/3 hour, fits the solution to our equation. As such, our answer corresponds with the information that if a student allocates half an hour each for math and English, they are able to complete a portion of their homework in both subjects, as demonstrated by one of the example scenarios provided. Additionally, the importance of efficient time management and study habits, as reflected in provided statistical information on student study patterns, further reinforces the notion that effective planning plays a crucial role in academic success.