Question

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 $1225. what was the rate charged per hour by each mechanic if the sum of the two rates was $125 per hour?

Answer 1

Alright, lets get started.

Suppose first mechanic charges= x

So, second mechanic charges will be =
`(125 - x)` (because total of their rates was 125)

first mechanic worked for 5 hours, and the second mechanic worked for 15 hours and together they charged a total of $1225

Means

`5 x + 15 (125-x) = 1225`

`5 x + 1875 - 15 x = 1225`

`1875 - 10 x = 1225`

Adding 10 x in both sides

`image`

Subtracting 1225 from both sides

`image`

Dividing 10 in both sides

`(650)/(10) = (10x)/(10)`

x = 65

For second mecahnics rate = 125 - 65 = 60

Hence The mechanic who worked 5 hours charged $ 65 per hour, the one who worked 15 hours charged $ 60 per hour: Answer

Hope it will help :)