painter A charges $376 plus $12 per and painter B charges $280 plus $15 per hour. in how many hours will they cost the same

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destinycarter63 destinycarter63 · Answer 1 · 2016-12-11T21:28:54+01:00

In 32 hours they will cost the same

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slicergiza slicergiza · Answer 2 · 2019-10-15T06:59:23+02:00

Answer:

32 hours

Step-by-step explanation:

Let after x hours the charges of A and B are same,

Given,

For painter A,

Fixed charges = $ 376,

Additional charges per hour = $ 12,

So, the total charges for x hours = ( 376 + 12x ) dollars

For painter B,

Fixed charges = $ 280,

Additional charges pet hour = $ 15,

So, the total charges for x hours = ( 280 + 15x ) dollars

Thus,

376 + 12x = 280 + 15x

12x - 15x = 280 - 376

-3x = -96

x = 32

Hence, for 32 hours their cost will be same.