Let's start by finding out how much time John spent on Science and Math homework combined. We know that 2/3 of the total time was spent on English homework, so the remaining 1/3 of the time was spent on Science and Math combined.
1/3 of the time = 20 minutes (the time John spent on Math homework)
To find out how much time John spent on Science homework, we need to calculate 1/2 of the remaining time:
1/2 of 1/3 of the time = 1/6 of the total time
1/6 of the total time = 20 minutes (the time John spent on Math homework)
So John spent a total of 20 + 20 = 40 minutes on Science and Math combined.
Now we can calculate how much time John spent on English homework:
2/3 of the time = 2/3 * (total time)
2/3 * (total time) - 40 minutes = time spent on English homework
We don't know the total time, but we can use algebra to solve for it:
2/3 * (total time) - 40 minutes = time spent on English homework
2/3 * (total time) = time spent on English homework + 40 minutes
(total time) = (3/2) * (time spent on English homework + 40 minutes)
Now we can substitute the answer choices to see which one makes sense:
(1) If John spent 10 minutes on English homework, then the total time would be:
(total time) = (3/2) * (10 minutes + 40 minutes) = 75 minutes
This is not equivalent to the time John was given, which was a few hours.
(2) If John spent 40 minutes on English homework, then the total time would be:
(total time) = (3/2) * (40 minutes + 40 minutes) = 120 minutes
This is equivalent to the time John was given, so the answer is (2) 40 minutes.
John used a few hours to complete his homework. 2/3 of the time was spent on English homework. 1/2 of the remaining time was spent on Science
homework. He spent the rest of the 20 minutes on Math homework. How much time did he use to complete his English homework?
(1) 10 minutes
(2) 40 minutes
(3) 70 minutes
(4) 80 minutes
3 answers
To solve the problem, we need to use the given information to determine the amount of time John spent on English homework.
Let's start by using fractions to represent the time John spent on each subject:
- English homework: 2/3 of total time
- Remaining time: 1/3 of total time
- Science homework: 1/2 of remaining time = 1/2 * 1/3 = 1/6 of total time
- Math homework: rest of the time = total time - (English + Science) = 1 - (2/3 + 1/6) = 1/6 of total time
We know that John spent the rest of the 20 minutes on Math homework, so we can set up an equation:
1/6 * total time = 20 minutes
Solving for total time:
total time = 20 minutes / (1/6) = 120 minutes
Now we can find out how much time John spent on English homework:
English homework = 2/3 * total time = (2/3) * 120 minutes = 80 minutes
Therefore, the answer is (4) 80 minutes.
Let's start by using fractions to represent the time John spent on each subject:
- English homework: 2/3 of total time
- Remaining time: 1/3 of total time
- Science homework: 1/2 of remaining time = 1/2 * 1/3 = 1/6 of total time
- Math homework: rest of the time = total time - (English + Science) = 1 - (2/3 + 1/6) = 1/6 of total time
We know that John spent the rest of the 20 minutes on Math homework, so we can set up an equation:
1/6 * total time = 20 minutes
Solving for total time:
total time = 20 minutes / (1/6) = 120 minutes
Now we can find out how much time John spent on English homework:
English homework = 2/3 * total time = (2/3) * 120 minutes = 80 minutes
Therefore, the answer is (4) 80 minutes.
Note: It is important to understand that the time taken to complete homework may vary and may not be the same for everyone. This solution is based on the given information and assumptions made about the time fractions.
1 answer