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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?

Respuesta :

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

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