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?
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?
Let the time needed=T, then we have:
25T +50=27.50T +35
Solve for T:
25 T+50 = 27.5 T+35
27.5 T+35 = (55 T)/2+35:
25 T+50 = (55 T)/2+35
Subtract (55 T)/2+50 from both sides:
-(5 T)/2 = -15
Multiply both sides by -2/5:
Answer: | T=6 Hours
