Two mechanics worked on a car. The first mechanic charged $45 per hour, and the second mechanic charged $55 per hour. The mechan
ics worked for a
combined total of 25 hours, and together they charged a total of $1175. How long did each mechanic work?
1 answer:
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!
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