The first painter can finish a paint job in 2 hours. The second painter can finish the same job in 8 hours. How long would it take them to finish the job if they were working together?

The first painter can finish a paint job in 2 hours The second painter can finish the same job in 8 hours How long would it take them to finish the job if they class=

Respuesta :

Answer: [tex]1\frac{3}{5}[/tex] hrs

Step-by-step explanation:

1st painter:  [tex]\frac{1}{2}[/tex]

2nd painter: [tex]\frac{1}{8}[/tex]

1st + 2nd = Together

[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{8}[/tex] = [tex]\frac{1}{x}[/tex]

[tex]\frac{1}{2}(8x)[/tex] + [tex]\frac{1}{8}(8x)[/tex] = [tex]\frac{1}{x}(8x)[/tex]

4x + x = 8

5x = 8

 x = [tex]\frac{8}{5}[/tex]

    = [tex]1\frac{3}{5}[/tex]

In 1 hour 36 minutes, they would take them to finish the job if they were working together.

What is a fraction?

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The first painter can finish a paint job in 2 hours.

The first painter can finish 1/2 part paint job in 1 hour.

The second painter can finish the same job in 8 hours.

The second painter can finish 1/8 part paint job in 1 hour.

They can complete (1/2 + 1/8) part paint job in 1 hour

[tex]=\frac{1}{2} +\frac{1}{8}[/tex]

[tex]=\frac{4+1}{8}[/tex]  

= 5/8 part paint job in 1 hour they will complete.

Reciprocal of it 8/5 hours or 1.6 hours(1 hour and 36 minutes).

Thus, in 1 hour 36 minutes, they would take them to finish the job if they were working together.

Learn more about the fraction here:

brainly.com/question/1301963

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