Mitch has 3 tests to study for on Thursday night. He needs to spend twice as much time on Science as English. He also has to study Math and he can learn that in 1/2 the time it takes to study English. He has four hours to study. What is the maximum amount of time, to the nearest tenth, of an hour, that he can study English?
let time for math be x hrs
then time for English is 2x hrs
time for science is 4x
4x+2x+x = 4
7x = 4
x = 4/7 hrs
math -- .57 hrs
English -- 1.14 hrs
Science -- 2.29 hrs
To find the maximum amount of time Mitch can study English, we need to follow the given conditions and determine the time allocated for studying each subject.
Let's denote the time Mitch spends studying English as "x" hours.
According to the given conditions:
- Mitch needs to spend twice as much time on Science as English. This means he will spend 2x hours on Science.
- Mitch can learn Math in half the time it takes to study English. So, he will spend 0.5x hours on Math.
Based on the above information, we can form the equation for the total time spent studying:
x + 2x + 0.5x = 4
Combining like terms:
3.5x = 4
To find the value of x, we can divide both sides of the equation by 3.5:
x = 4 / 3.5
Simplifying this equation gives us:
x = 1.143 (rounded to three decimal places)
Therefore, the maximum amount of time Mitch can study English is approximately 1.1 hours (rounded to the nearest tenth of an hour).