Jim's Brakes charges $25 for parts and $55 per hour to fix the brakes on a car. Myron's Auto charges $40 for parts and $30 per hour to do the same job. What length of job in hours would have the same cost on both shops?
To find the length of the job in hours that would have the same cost at both shops, we need to set up a simple equation.
Let's assume the length of the job in hours is x.
For Jim's Brakes, the cost of the job can be calculated using the formula:
Cost = cost of parts + (cost per hour × number of hours)
Cost at Jim's Brakes = $25 + ($55/hour × x hours)
For Myron's Auto, the cost of the job can be calculated using the same formula:
Cost = cost of parts + (cost per hour × number of hours)
Cost at Myron's Auto = $40 + ($30/hour × x hours)
Now, we can set up the equation to find the length of the job in hours that would have the same cost at both shops:
$25 + ($55/hour × x hours) = $40 + ($30/hour × x hours)
To solve this equation, we can first simplify it:
$55x + $25 = $30x + $40
Now, let's isolate the x term by moving the constant terms to the other side of the equation:
$55x - $30x = $40 - $25
Simplifying further:
$25x = $15
Finally, divide both sides of the equation by $25 to solve for x:
x = $15 / $25
x = 0.6
Therefore, the length of the job in hours that would have the same cost at both shops is 0.6 hours, or approximately 36 minutes.