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 $1450. what was the rate charged per hour by each mechanic if the sum of the two rates was $155 per hour?

Let x be the rate charged by first mechanic and y be the rate charged by second mechanic

x + y = 155

20x + 5y = 1450

We have solve for x and y by using simultaneous equations,

Multiply the first by 5, we get: 5x + 5y = 775

Second eq. subtact, we get : - 20x-5y = - 1450

-15x = - 675

x = 675/15

x = $45/hr

Y = 155-45 = $110/hr

First mechanic charges $45 per hour and the second mechanic charges $110/hr