Answer:
First man rate is 115
Second man rate is 50
Step-by-step explanation:
Let's assume rate of charge of first men is x
rate of charge of second men is y
we are given
the sum of the two rates was 165. per hour
so, we get
[tex]x+y=165[/tex]
Two men worked on a car. the first man worked 20 hours and the second man worked 15 hours. Together they charged 3050
so, we get
[tex]20x+15y=3050[/tex]
we can simplify it
[tex]5(4x+3y)=3050[/tex]
[tex](4x+3y)=610[/tex]
so, we got system of equations as
[tex]x+y=165[/tex]
[tex]4x+3y=610[/tex]
We can solve for y from first equation and plug into second equation
[tex]y=165-x[/tex]
[tex]4x+3(165-x)=610[/tex]
[tex]x+495=610[/tex]
[tex]x=115[/tex]
now, we can solve for y
[tex]y=165-115[/tex]
[tex]y=50[/tex]
