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?

Alright, lets get started.

Suppose first mechanic charges= x

So, second mechanic charges will be = (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

Adding 10 x in both sides

Subtracting 1225 from both sides

Dividing 10 in both sides

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 :)