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 $1575. what was the rate charged per hour by each mechanic if the sum of the two rates was $155 per hour?

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FelisFelis FelisFelis · Answer 1 · 2018-10-03T08:26:49+02:00

Two mechanics worked on a car.

Now, mechanic 1 has spent 5 hours working on the car.

Mechanic 2 has spent 15 hours working on the car.

Lets say mechanic 1 charged 'x' dollars per hour and mechanic 2 charged 'y' dollars per hour.

So,

[tex]5x+15y=1575[/tex] that is our first equation ( 1 ):

And,

[tex]x+y=155[/tex] that is our second equation ( 2 ):

Using the two equations we can solve for 'x' and 'y', using our first equation we get:

[tex]x+3y=315[/tex]

[tex]x+y=155[/tex]

On solving for 'x' and 'y' we get:

[tex]y=80[/tex]

and putting the value of 'y' in the equation 2 we get:

[tex]x=155-80=75[/tex]

As mentioned earlier, 'x' represents the charge that mechanic 1 charged per hour and 'y' represents the charge that mechanic 2 charged per hour.

We have [tex]x=75[/tex] and [tex]y=80[/tex].

So, the mechanic 1 charged $75 per hour and mechanic 2 charged $80 per hour.