Question

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

Answer 1

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