Question

An electrician charges $53 per hour and his apprentice charges $22 per hour. On a job wiring a house the electrician worked four hours more than the apprentice. Together they earned a total of $624.50 for the job. How much did the election earn for the rewiring?

Answer 1

$503.5

Explanation:

let the apprentice duration of work be x hours

so that the electrician worked (x+4)hours

53*(x+4)+22*x=624.50

opening the bracket we have

53x+212+22x=624.50

collect like terms we have

53x+22x+212=624.50

75x+212=624.50

75x=624.50-212

75x=412.5

divide both sides by 75 we have

x=412.5/75

x=5.5

The electrician worked a total of (x+4)

5.5+4=9.5 hours or 9hours 30min

given that the electrician earns $53 per hour

then,for the work he would make 53*9.5=$503.5