Jennifer can clean her room in 2 hours, while John can clean the same room in 5 hours. How many hours would it take for them to clean the room together?

Question

hugsnotughs · Answer

OMG, I learned this. >v>
Maybe I can give you an example I did because I learned this a while ago.

hugsnotughs · Answer

(and because i have to go like in two minutes)

inowalst · Answer

$$7 $$ $$10$$ $$\frac{ 7 }{ 10 }$$ $$\frac{ 10 }{ 7 }$$

inowalst · Answer

Those are my options.

jordanloveangel · Answer

im thinking 7

inowalst · Answer

What makes you say that?

jordanloveangel · Answer

http://openstudy.com/study#/updates/53279244e4b087b3d4109a36

calculusxy · Answer

For this one you need to figure out the LCM , least common mutltiple. There is a multiple that both 2 and 5 overlap on.

hugsnotughs · Answer

I have to go @inowalst , but here is an example on how you do these kinds of problems:

"If Ezra takes 6 hours to build a house and it takes Jack 12 hours to build the same house, how long would it take for them to do it together?"

2.  Write a rational equation based upon the word problem you created.
 
1/6 + 1/12 = 1/x.  The numbers are in hours and 1/6 represents Ezra's portion and 1/12 represents Jack's.

3.  Solve the rational equation. Show your work.

1/6 + 1/12 = 1/x

Find the common demoninator.

(1 * 4x)/(6 * 4x) + (1 * 2x)/(12 * 2x) = (1 * 24)/(x * 24)
4x/24x + 2x/2x = 24/24x

4x + 2x = 24
6x = 24
x = 4

Together, it will take Ezra and Jack will take 4 hours to build the house.

hugsnotughs · Answer

Hope you pass, but I gots to go. ;3

inowalst · Answer

Alright, thank you!

hugsnotughs · Answer

Any time. :3

theraggedydoctor · Answer

dot.