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If Jim Roller can paint a room in 3 hours while John Brush would take 5 hours, how long will they take if they work together? 1/8 hour 8/15 hour 1 7/8 hours

Respuesta :

Answer:

Step-by-step explanation:

Each hour, Jim does 1/3 of the job if working alone.

Each hour, John does 1/5 of the job if working alone.

Let x = number of hours to do the job if they work together.  So, each hour, they do 1/x of the job when they work together.

We get the equation:  1/3 + 1/5 = 1/x

Multiply the equation by the LCD, 15x:   5x + 3x = 15

                                                                             8x = 15

                                                                               x = 15/8 = 1 7/8 hrs

ANSWER:  (C).  
Answer is C


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