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bearhunter [10]
3 years ago
14

It takes Emily eight hours to paint her house. Mike can paint the same area in nine hours. Find how long it would take them if t

hey worked together.
7.58 hours

15.34 hours

3.56 hours

4.24 hours
Mathematics
2 answers:
Olenka [21]3 years ago
7 0

<u>Answer:</u>

It would take them 4.24 hours if they worked together.

<u>Explanation:</u>

We are given that

time taken by emily to paint her house = 8 hours and

time take by Mike to paint the same area = 9 hours

We have to find the time taken by them if the work together, let this be x so x will be given by,  

\frac{1}{8}+\frac{1}{9}=\frac{1}{x}

\frac{9+8}{72}=\frac{1}{x}

x=\frac{72}{17}

= 4.24 hours

which is the time taken by Emily and Mike to paint the house when they do it together.

emmasim [6.3K]3 years ago
4 0

It will take them 4.24 hours together to paint the area together

Step-by-step explanation:

If Emily takes eight hours to paint the area then she will paint 1/8 of the house in one hour

Similarly, if Mike can paint the same area in 9 hours, then he will paint 1/9 of the same area

Let x be the number of hours in which they will together paint the area.

If x hours are taken by them to paint the area then 1/x of the area will be painted in one hour

So,

\frac{1}{8}+\frac{1}{9}=\frac{1}{x}\\Multiplying\ both\ sides\ with\ the\ LCM\\72x\\(72x)*\frac{1}{8}+(72x)*\frac{1}{9}=72x * \frac{1}{x}\\9x+8x=72\\17x=72\\Dividing\ both\ sides\ by\ 17\\\frac{17x}{17}=\frac{72}{17}\\x=4.24\ hours

It will take them 4.24 hours together to paint the area together

Keywords: Linear equation, Variables

Learn more about linear equations at:

  • brainly.com/question/10772025
  • brainly.com/question/10879401

#LearnwithBrainly

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