Two mechanics worked on a car. The first mechanic charged $45 per hour, and the second mechanic charged $55 per hour. The mechanics worked for a

combined total of 25 hours, and together they charged a total of $1175. How long did each mechanic work?

Let first mechanic worked for X and second be Y.

So, X + Y = 25

X = 25-Y

And total they charged-

45X + 55Y = 1175

5 (9X + 11Y) = 235 * 5

(9X + 11Y) = 235

11Y = 235-9X

From fist statement: X=25-Y

11Y = 235-9 (25-Y)

11Y = 235-225+9Y

11Y = 10+9Y

11Y - 9Y = 10

2Y = 10

Y = 10/2

Y=5 hours

X=25-Y

X=25-5

X=20

X worked for 20 hours and Y for 5 hours.

PS. Moral of the story - You can say Y was lazy but still charged more than Y. Just kidding!