SOLUTION: Two mechanics worked on a car. The first mechanic charged $65 per hour, and the second mechanic charged $70 per hour. The mechanics worked for a combined total of 20 hours, and tog
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Question 1185896: Two mechanics worked on a car. The first mechanic charged $65 per hour, and the second mechanic charged $70 per hour. The mechanics worked for a combined total of 20 hours, and together they charged a total of $1375. How long did each mechanic work?
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
first and second mechanics
x and y, their time each
or
h, time for second mechanic @ $70 per hour
20-h, time for first mechanic @ $65 per hour
--------Simplify, compute this.
--
check: found h reproduce the $1375?
15 hours at $70/hr
5 hours at $65/hr
Answer by greenestamps(13215) (Show Source): You can put this solution on YOUR website!
Informally....
$1375 for 20 hours of work is $67.50 per hour, which is exactly halfway between $65 and $70 per hour. So the two mechanics worked equal numbers of hours.
ANSWER: each mechanic worked 10 hours.
CHECK: 10(65)+10(70)=650+700=1350
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