## Artchicky 2 years ago 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.

1. saifoo.khan

$\frac 1x =\frac{1}{10}+\frac{1}{11}$

2. saifoo.khan

1/10 = Mike's part. 1/11 = Maria'a part. 1/x = time it will take if both will work.

3. Artchicky

Alright and so then i would find the common denominator and then solve for the x?

4. hba

Now take the lcm,cross multiply and get to x.

5. saifoo.khan

Yes.

6. Artchicky

I got 120/110. do i divide 110 by 120 and turn it into a decimal?

7. saifoo.khan

Nope/

8. Artchicky

-.- okay so for my lcd i did 11 by 10. then okay i messed up my adding. it should be 21/110

9. saifoo.khan

1/x = 21/110

10. Artchicky

then i would multiply the 1 and that would isolate the x. leaving me with the 21/110 and then i simplify it?

11. saifoo.khan

x is in the denominator currently. Do something to bring it to the numerator.

12. Artchicky

multiply the 110 to the top and bottom. I would get 110 over 110x?

13. hba

See this, $\frac{ 1 }{ a }=\frac{ 11 }{ 10 }$ $a=\frac{ 10 }{ 11 }$

14. saifoo.khan

|dw:1358612774385:dw|

15. Artchicky

okay now i understand

16. hba

$\frac{ 1 }{ x }= \frac{21}{110}$ $\ x=..$

17. Artchicky

5.23?

18. saifoo.khan

Yes.

19. saifoo.khan

Lol. I'm speechless.