Two mechanics worked on a car. The first mechanic charged $85 per hour and the second mechanic charged $80 per hour the mechanics worked for a combined Total of 20 hours and together they charged a total of $1675. How long did each mechanic work?

Correct answer: First x = 15 h and second y = 5 h

Step-by-step explanation:

To solve this problem we will form a system of two equations with two variables:

Let be the time of the first mechanic x and of the second y

x + y = 20 ⇒ y = 20 - x

85 x + 80 y = 1675

85 x + 80 (20 - x) = 1675

85 x + 1600 - 80 x = 1675

5 x = 1675 - 1600

5 x = 75

x = 75 / 5 = 15 h

x = 15 h

y = 20 - 15 = 5 h

y = 5 h

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