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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?

1 Answer

1 vote

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

User Jdgower
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