SOLUTION: Two mechanics worked on a car. The first mechanic charged $ 55 per hour, and the second mechanic charged $110 per hour. The mechanics worked for a combined total of 20 hours,

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Question 1199888: Two mechanics worked on a car. The first mechanic charged
$ 55 per hour, and the second mechanic charged $110 per hour. The mechanics worked for a combined total of 20 hours, and together they charged a total of $1925. How long did each mechanic work?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39623) (Show Source):
You can put this solution on YOUR website!
Do they do the work together?

MECHANICS PAYRATE TIME MONEY Low-priced 55 20-y 55(20-y) High-priced 110 y 110y TOTALS 20 1925

Also notice that one of the mechanics earns at TWICE the rate than the other.

Answer by ikleyn(52835) (Show Source):
You can put this solution on YOUR website!
.
Two mechanics worked on a car. The first mechanic charged $ 55 per hour,
and the second mechanic charged $110 per hour.
The mechanics worked for a combined total of 20 hours, and together
they charged a total of $1925. How long did each mechanic work?
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x = hours 2nd mechanic worked, who charged 110 dollars per hour. 20-x = hours 1st mechanic worked, who charged 55 dollars per hour. The total cost is 110x + 55*(20-x), and the total money equation is THIS 110x + 55*(20-x) = 1925 dollars. Simplify it and find x 110x + 1100 - 55x = 1925 110 - 55x = 1925 - 1100 55x = 825 x = 825/55 = 15. ANSWER. Second mechanic worked 15 hours. First mechanic worked (20-15) = 5 hours. CHECK. 15*110 + 55*5 = 1925, total money. ! correct !

Solved.