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

$1875 - 10 x + 10 x = 1225 + 10 x \\1875 = 1225 + 10 x$

Subtracting 1225 from both sides

$1875 - 1225 = 1225 + 10 x - 1225\\650 = 10 x$

Dividing 10 in both sides

$\frac{650}{10} = \frac{10x}{10}$

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 :)