MATH SOLVE

2 months ago

Q:
# One electrician charges a $50 service call fee plus $25 per hour for labor. Another electrician charges a $35 service call fee plus $27.50 per hour for labor. How long would a job take if the total cost for each electrician is the same?

Accepted Solution

A:

Let us first make expressions for each electrician.Electrician 1:Service call fee charged by first electrician =$50Per hour labor charges =$25let us say he worked for x hours.Total cost = 50 +25x ...............(1)Electrician 2:Service call fee charged by second electrician =$35Per hour labor charges =$27.50let us say he worked for x hours.Total cost = 35 +27.50 x.............. (2)Since total cost is same for x hours, so equating equations (1) and (2)[tex] 50 +25x= 35 +27.50x [/tex][tex] 50 -35= 27.50x -25x[/tex][tex] 15=2.50x [/tex]dividing both sides by xx = 6Answer : A job would take 6 hours if the total cost for each electrician is the same.