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it takes joan 5h to paint the porch, while jan can do it in 4h. how long will it tae them working together

Sagot :

It will take them 2 hours and 22 minutes to working together.

Here,

Joan paint the porch in 5 hours.

Jan can take 4 hours to paint the porch.

We have to find the time to take them working together.

What is Fraction?

A fraction simply tells us how many parts of a whole we have.

Now,

Let x is number of hours to take them working together.

Then, 1/x is how much of the porch they can paint together in 1 hour.

Joan paint the porch in 5 hours.

Then, Joan can take 1 hour to paint the 1/5 part of porch.

Jan can take 4 hours to paint the porch.

Then, Jan can take 1 hour to paint the 1/4 part of porch.

To find how much of the porch they can paint together in 1 hour, we can add together;

[tex]\frac{1}{5}+ \frac{1}{4} = \frac{1}{x} \\\\\frac{4+5}{20} = \frac{1}{x} \\\\\frac{9}{20} = \frac{1}{x}\\\\x = 20.22[/tex]

Hence, It will take them 2 hours and 22 minutes to working together.

Learn more about the fraction visit:

https://brainly.com/question/17220365

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