Person A can paint the neighbors house 5 times as fast as Person B. The year A and B worked together, it took them 6 days. how long would it take each to paint the house

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Person A can paint the neighbors house 5 times as fast as Person B. The year A and B worked together, it took them 6 days. how long would it take each to paint the house

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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You have to think of these problems in terms of how much work is done in a given time With this in mind we can create this equation. 1/x + 1/5x = 1/6
Can You solve it now?
yes i believe so thanks

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Other answers:

i got 36/5
Person A takes x days to paint the house. Person B takes 5x days to paint the house. In 1 day, person A does 1/x of the job. In 1 day, person B does 1/(5x) of the job. In 1 day, both working together do 1/6 of the job. \(\dfrac{1}{x} + \dfrac{1}{5x} = \dfrac{1}{6} \) x is the time the faster person takes to paint the house. 5x is how long the slower person takes.
x = 36/5 = 7.2 days The faster of the 2 takes 7.2 days to the the complete job. The slower one takes 5 times as long. What is 36/5 * 5 ?
36
so person A would take 36/5 days and person B would take 36 days
Right. Now let's check. The slow painter needs 36 days working alone. In 6 days he does 6/36 of the job. That means he does 1/6 of the job in 6 days. The fast painter needs 7.2 days working alone. In 6 days, he does 6/7.2 of the job. 6/7.2 = 5/6. He does 5/6 of the job in 6 days. 1/6 of the house (painted by the slow painter) + 5/6 of the house (painted by the fast painter) = 1 entire house painted.
Yes. Answers are 7.2 days and 36 days.

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