A student spends no more than 2 hours on his math and English homework. If math takes about twice as long as English, what is the maximum time that the student can spend on English? (1 point) Responses one-third hour Image with alt text: one-third hour The fraction is 1 over 2. hour Image with alt text: The fraction is 1 over 2. hour 1 hour 1 hour two-thirds hour
If the student spends x hours on English, then he spends 2x hours on math. The total time he spends on homework is x + 2x = 3x.
Since the student spends no more than 2 hours on homework, we can write the inequality:
3x ≤ 2
To find the maximum time the student can spend on English, we need to solve this inequality for x:
x ≤ 2/3
Therefore, the maximum time the student can spend on English is two-thirds of an hour.