Question

two mechanics worked on a car. the first mechanic charged $45 per hour, and the second mechanic charged $120 per hour. the mechanics worked for a combined total of 35 hours, and together they charged a total of $2700. how long did each mechanic work

Answer 1

Answer:

First mechanic worked for 20 hours and second mechanic worked for 15 hours.

Solution:

Given, Two mechanics worked on a car.  

The first mechanic charged $45 per hour, and the second mechanic charged $120 per hour.  

The mechanics worked for a combined total of 35 hours, and together they charged a total of $2700.  

We have to find how long did each mechanic work.

Let the time worked by 1st mechanic be t hours then time taken by 2nd mechanic will be 35 – t hours.

Now, according to given information,  

45 x t + 120 $\times$ (35 – t) = 2700

45t + 120 $\times$ 35 – 120t = 2700

-75t + 4200 = 2700

75t = 4200 – 2700

75t = 1500

t = 20

hence, 1st mechanic worked for 20 hours and 2nd mechanic worked for 35 – 20 = 15 hours.