Question

Two mechanics worked on a car. The first mechanic charged S95 per hour, and the second mechanic charged $115 per hour.

The mechanics worked for a combined total of 25 hours, and together they charged a total of S2675. How long did each mechanic work?

Answer 1

First mechanic worked for 10 hours and second mechanic worked for 15 hours.

Explanation:

Let first mechanic worked for X hours and second mechanic worked for Y hours .

Now, according to the question , they worked for a total of 25 hours .

Thus ,

X + Y = 25.

Y = 25 - X -(1)

Also, first mechanic is charging $ 95 per hour and second mechanic is charging $115 per hour .

Thus, total money charged by them will be 95X + 115Y .

Which is given to be $2675 in the question.

Thus 95X + 115Y = 2675. -(2)

Putting equation 1 in equation 2 we get ,

95X + 2875 - 115X = 2675

20X = 200

X = 10 hours.

Thus , Y = 25 - X = 15 hours.

Thus first mechanic worked for 10 hours and second mechanic worked for 15 hours.