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Layna can paint a 350-square-foot room in 4 hours. It takes Bebe 7 hours to paint the same room. Which equation can be used to find t, the time it takes Layna and Bebe to paint the room together

Respuesta :

adriemail4
he amount of work done by Layna every hour is 1/4 and that of Bebe is 1/7. These are all dependent on their rates to do the job alone. After working for t hours, they will accomplish 1 job. Thus, this is shown in the equation,
                          (1/7 + 1/4) x t = 1
Solving for t gives an answer of 2.55 hours.  

Answer:

[tex]\frac{t}{4} +\frac{t}{7}=1[/tex]

Step-by-step explanation:

Layna can paint a 350-square-foot room in 4 hours.

It takes Bebe 7 hours to paint the same room.

Let t be the total time taken by both to paint.

They are completing 1 job so the equation will be :

[tex]\frac{t}{4} +\frac{t}{7}=1[/tex]

Further solving it we get;

[tex]\frac{7t+4t}{28}=1[/tex]

[tex]\frac{11t}{28}=1[/tex]

[tex]11t=28[/tex]

t = 2.5 hours.

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