Question

Two men worked on a car. the first man worked 20 hours and the second man worked 15 hours. Together they charged 3050. what was the rate charge per hour by each man if the sum of the two rates was 165. per hour?

Answer 1

First man rate is 115

Second man rate is 50

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

`x+y=165`

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

`20x+15y=3050`

we can simplify it

`5(4x+3y)=3050`

`(4x+3y)=610`

so, we got system of equations as

`x+y=165`

`4x+3y=610`

We can solve for y from first equation and plug into second equation

`y=165-x`

`4x+3(165-x)=610`

`x+495=610`

`x=115`

now, we can solve for y

`y=165-115`

`y=50`