Question

Two plumbers charge different rates for service. The first plumber charges $100 for every service call plus $25 per hour of service. The second plumber charges $50 for every service call plus $50 per hour of service. After how many hours do the plumbers charge the same amount

Answer 1

After two hours the two plumbers will charge the same amount

Explanation:

Set up your equations

Plumber 1:

y = 25x + 100

Plumber 2:

y = 50x + 50

Set the two equal to each other and solve

25x + 100 = 50x + 50

-50 -50

25x + 50 = 50x

-25x -25x

50 = 25x

50/25 = 25x/25 <- Divide both sides by 25

x = 2

After two hours the two plumbers will charge the same amount