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Two mechanics worked on a car. The first mechanic worked for 5
hours, and the second mechanic worked for 15hours. Together they charged a total of $1325. What was the rate charged per hour by each mechanic if the sum of the two rates was $165 per hour? First mechanic per hour second mechanic per hour

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alinakincsem

Answer:

$50 and $115

Step-by-step explanation:

We know that,

the sum of the two rates = $165 per hour

Let x and (165 - x) represent the $/hour of the 15hr and 5hr mechanics respectively.

Then combining their charges together to get:

[tex](x*15)hour+(165-x)*5 hour=1325[/tex]

Solving for x to get:

[tex]15x-5x+825=1325[/tex]

[tex]10x=500[/tex]

[tex]x=50[/tex]

So the rate charged per hour by one mechanic is $50 and for the other mechanic = [tex](165-50)=[/tex] $115.

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