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A new crew of painters can paint a small apartment in 12 hours. an experienced crew can paint the small apartment in 6 hours. how many hours does it take to paint the apartment when the two crews work together?

Respuesta :

CastleRook
This is the concept of proportionality, we are required to calculate for the number of hours two crews can use to paint the house altogether.
Here proceed as follows;
number of hours new crew can paint=12 hrs
portion of work painted by new crew in 1 hour= 1/12

number of hours experienced crew can paint=6 hours
Portion of work painted by experienced crew in 1 hour=1/6

Portion of work painted by the two crews altogether in 1 hour will be:
1/6+1/12=1/4

thus the total amount of hours that the two painters will take to paint will be:
4 hours

There are 4 hours does it take to paint the apartment when the two crews work together.

Ratio and proportion;

The ratio is used to compare the two quantities to find the value of unknown quantities.

Given information

A new crew of painters can paint a small apartment in 12 hours.

An experienced crew can paint the small apartment in 6 hours.

Let x be the number of hours required to paint the apartment when the two crews work together.

The number of hours does it take to paint the apartment when the two crews work together is;

[tex]\rm x \left ( \dfrac{1}{12}+\dfrac{1}{6} \right )=1\\\\x \left ( \dfrac{1\times 1+ 1\times 2}{12} \right )=1\\\\x \left (\dfrac{1+2}{12} \right )=1\\\\\dfrac{3}{12}x=1\\\\3x=12\\\\ x=\dfrac{12}{3}\\\\x=4[/tex]

Hence, there are 4 hours does it take to paint the apartment when the two crews work together.

To know about ratios click the link given below.

https://brainly.com/question/5023296

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