Question

A student spends no more than 2 hours on his math and English homework. If math takes about twice as long as long as english. How long will the student be able to finish hisEnglish homework?

Answer 1

d) 2/3

Explanation:

Step one: write your equations

"A student spends no more than 2 hours on his math and English homework." Our sign will be less than or equal to. Our operation will be addition since the question used "and" to connect math and English.

m=x; e=y

Equation a. x + y ≤ 2

Equation b. x = 2y (2y because math takes twice as long, therefore, we can multiply y by 2) Remember: x or y by itself has a coefficient of 1.

Step two: Substitute x into equation a.

x=2y so our new equation is: 2y + y ≤ 2

Step three: isolate y and solve

2y + y= 3y

3y ≤ 2

Next, isolate y by dividing both sides by 3.

3y/3 ≤ 2/3

y ≤ 2/3

There is your answer, English equals y, so the maximum time he can take on his English work is 2/3 of an hour or 40 minutes.

Full question: 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?

Answer 2

E - English homework, M - Math homework;
M + E ≤ 2 hours
M = 2 E
2 E + E ≤ 2 hours
3 E ≤ 2 hours = 120 minutes
E ≤ 120 : 3
E ≤ 40 minutes
Answer:
The student will be able to finish his English homework in less or equal to 40 minutes.