Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they charged a total of $1400. What was the rate charged per hour by mechanic if the sum of the two rates was $130 per hour
Let's define variables: x = Rate in $ / hr of the mechanic working 15hr y = Rate in $ / hr of the mechanic working 5hr We have the following system of equations: x + y = 130 15x + 5y = 1400 Solving the system we have: x = $ 75 / hr y = $ 55 / hr Answer: the rate charged per hour by mechanics was: x = $ 75 / hr y = $ 55 / hr