A master electrician eams $62 per hour His apprentice earns $40 per hour. The master electrician works 3 hours more than the apprentice. If together they are paid $492, how much does the master electrician earn?

Answer 1

Let's denote the number of hours the apprentice works as x.

Therefore, the master electrician works x + 3 hours.

The total amount earned by the apprentice is $40x, and the total amount earned by the master electrician is $62(x + 3).

Together, they earn $40x + $62(x + 3) = $492.

Expanding the expression, we get:

$40x + $62x + $186 = $492
$102x + $186 = $492
$102x = $306
x = 3

Therefore, the apprentice works 3 hours, and the master electrician works 6 hours (3 hours more than the apprentice).

The total amount earned by the master electrician is $62(6) = $372.

So, the master electrician earns $372 per day.