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Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. 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 $170 per hour?

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absor201

The per hour rate of first mechanic is $95 and per hour rate of $75.

Step-by-step explanation:

Let,

First mechanic's rate = x

Second mechanic's rate = y

10 hours charges of first mechanic = 10x

5 hour charges of second mechanic = 5y

According to given statement;

10x+5y=1325       Eqn 1

x+y=170               Eqn 2

Multiplying Eqn 2 by 10

[tex]10(x+y=170)\\10x+10y=1700\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 2 from Eqn 3

[tex](10x+10y)-(10x+5y)=1700-1325\\10x+10y-10x-5y=375\\5y=375[/tex]

Dividing both sides by 5

[tex]\frac{5y}{5}=\frac{375}{5}\\y=75[/tex]

Putting y=75 in Eqn 2

[tex]x+75=170 \\x=170-75\\x=95[/tex]

The per hour rate of first mechanic is $95 and per hour rate of $75.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/11638377
  • brainly.com/question/11921476

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