Question

Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1150. What was the rate charged per hour by each mechanic if the sum of the two rates was $95 per hour?

Answer 1

Answer: Let's call the hourly rate of the first mechanic "r1" and the hourly rate of the second mechanic "r2".

We know that the total time they worked is 20 hours + 5 hours = 25 hours.

We also know that the sum of their hourly rates is $95 per hour, so:

r1 + r2 = $95

We can use this information along with the total amount they charged, $1150, to find out how much each mechanic charged. We know that the total amount charged is the product of the number of hours worked and the hourly rate. So we can use the following equation:

(20 hours * r1) + (5 hours * r2) = $1150

Now we can substitute the equation r1 + r2 = $95 into the above equation and solve for r1:

(20 hours * r1) + (5 hours * (95 - r1)) = $1150

20r1 + 475 - 5r1 = 1150

15r1 = 675

r1 = $45/hour

To find out the hourly rate of the second mechanic, we can use the equation r1 + r2 = $95

r2 = $95 - r1

r2 = $95 - $45

r2 = $50/hour

So the first mechanic charges $45 per hour and the second mechanic charges $50 per hour.

Explanation: