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
