It takes Maria 11 mins to weed a garden. Mike can weed the same garden in 10 minutes. How long would it take them if they work together? - I got 21 mins but i honestly don't know how to round it.

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It takes Maria 11 mins to weed a garden. Mike can weed the same garden in 10 minutes. How long would it take them if they work together? - I got 21 mins but i honestly don't know how to round it.

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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\[\frac 1x =\frac{1}{10}+\frac{1}{11}\]
1/10 = Mike's part. 1/11 = Maria'a part. 1/x = time it will take if both will work.
Alright and so then i would find the common denominator and then solve for the x?

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Other answers:

  • hba
Now take the lcm,cross multiply and get to x.
Yes.
I got 120/110. do i divide 110 by 120 and turn it into a decimal?
Nope/
-.- okay so for my lcd i did 11 by 10. then okay i messed up my adding. it should be 21/110
1/x = 21/110
then i would multiply the 1 and that would isolate the x. leaving me with the 21/110 and then i simplify it?
x is in the denominator currently. Do something to bring it to the numerator.
multiply the 110 to the top and bottom. I would get 110 over 110x?
  • hba
See this, \[\frac{ 1 }{ a }=\frac{ 11 }{ 10 }\] \[a=\frac{ 10 }{ 11 }\]
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okay now i understand
  • hba
\[\frac{ 1 }{ x }= \frac{21}{110}\] \[\ x=..\]
5.23?
Yes.
Lol. I'm speechless.

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