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

Let's assume that the time the student spends on English homework is E.

According to the information given, we know that math takes about twice as long as English. Therefore, the time the student spends on math homework would be 2E.
Since the student spends no more than 2 hours on both subjects combined, the total time spent can be expressed as E + 2E = 3E.
To find the maximum time the student can spend on English, we need to determine the maximum value of E that satisfies 3E ≤ 2.
Dividing both sides of the inequality by 3, we get E ≤ 2/3.
Therefore, the maximum time the student can spend on English homework is 2/3 of an hour, which is equivalent to 40 minutes.