Problema Solution
two plumbers make house calls. one charges $120 for a visit plus $45 per hour of work. The other charges $90 for a visit and $55 per hour of work. For how many hours of work do the two plumbers charge the same?
Answer provided by our tutors
Cost equation for first plumber for 'x' hours:
C = 45x + 120
Cost equation for second plumber for 'x' hours:
C = 55x + 90
If the costs are the same, then:
45x + 120 = 55x + 90
10x = 30
x = 3
For three hours of work the two plumbers would charge the same.