Question

You have to complete at least 10 physics problems and math problems within 2 hours before you playing video games. It will take you 20 minutes to complete a physics problem and 10 minutes to complete a math problem. Write a system of inequalities to express this situation. What is the most possible number of physics problems you can complete and still meet the requirements?

Answer 1

Answer:2

Explanation:

Given

Physics problem requires 20 min

Math problem require 10 min

suppose x question of Physics and y questions of Math are done

so according to the question

`x+y\geq 10\ldots 1`

Time require for x Physics problem
`=20 x`

Time require for y Math problem
`=10 y`

so,

`20 x+10 y\leq 120\ldots 2`

On solving (1) and (2)

we get
`x=2` and
`y=8`

Maximum no of Physics question which can be solved is 2