Problema Solution

Two mechanics worked on a car. The first mechanic charged

$75

per hour, and the second mechanic charged

$70

per hour. The mechanics worked for a combined total of

25

hours, and together they charged a total of

$1800

. How long did each mechanic work?

Answer provided by our tutors

let


x = the number of hours the first mechanic worked


y = the number of hours the second mechanic worked


The mechanics worked for a combined total of 25 hours:


x + y = 25


and together they charged a total of $1800:


75x + 70y = 1800


by solving the system of equations:


x + y = 25


75x + 70y = 1800


we find:


x = 10 hr


y = 15 hr


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the first mechanic worked 10 hours while the second mechanic worked 15 hours.