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

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 (35 – t) = 2700

45t + 120 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.

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.

1/2*qr*rs

step-by-step explanation: