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 2575. what was the rate charged per hour by each mechanic if the sum of the two rates was 170$ per hour?

The rate charged by the first mechanic is $115 and the second mechanic is $55.

Step-by-step explanation:

Let, the rate charged by the first mechanic = $x and the rate charged by the second mechanic = $y.

Since, the first mechanic worked for 20 hours and the second mechanic worked for 5 hours.

Thus, the total rate charged by both the mechanics is (20x+5y).

As, they were charged total $2575.

So, we get, 20x+5y = 2575.

Moreover, the sum of the rate is given to $170.

This gives us, x + y = 170

So, we get the system of equations as,

20x+5y = 2575 i.e. 4x + y = 515

x + y = 170

Now, we will solve the equations by subtracting them both,

We get, 3x = 345 i.e. x = 115

So, y = 170 - x i.e. y = 170 - 115 i.e. y = 55

Hence, the rate charged by the first mechanic is $115 and the second mechanic is $55.

x=115  by first mechanic and y=55 by second mechanic.

Step-by-step explanation:

Let the first mechanic charge be x

And the second mechanic charge  be y

First mechanic worked for 20 hours that means 20x

And second mechanic worked for 5 hours that means 5y

in total they charged for  2575

So, 20 x + 5 y =2575 (1)

And Sum of two rates was:  x+y=170  (2)

Solving above two equations  (1) and (2) we get:

x=115 and y=55.