Problema Solution
Two mechanics worked on a car. The first mechanic worked foe 20 hours and the second mechanic worked for 15 hours together they charged a total of $3150. What was the rate charged per hour by each mechanic if the sum of the two rates was $185 per hour
Answer provided by our tutors
let
x = the rate per hour of the first mechanic
y = the rate per hour of the second mechanic
the first mechanic worked foe 20 hours and the second mechanic worked for 15 hours together they charged a total of $3150
20x + 15y = 3150
the sum of the two rates was $185 per hour
x + y = 185
by solving the system of equations
20x + 15y = 3150
x + y = 185
we find
x = $75 per hour
y = $110 per hour
click here to see the step by step solution of the system of equations
the first mechanic charged $75 per hour.
the second mechanic charged $110 per hour.