A master electrician earns $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?

Responses

A. $292$292

B. $312$312

C. $332$332

D. $372

1 answer

To solve this problem, we can set up a system of equations.

Let x be the number of hours the apprentice works, then the master electrician works x + 3 hours.

The total amount they are paid is 40x + 62(x+3) = $492.

Solving for x:
40x + 62x + 186 = 492
102x = 306
x = 3 hours

So, the master electrician works 3 + 3 = 6 hours.

The master electrician's total earnings are 62 * 6 = $372.

Therefore, the answer is D. $372.