Question

Carl can paint a room 3 hours faster than Jennifer can. If they work together, they can complete the job in 2 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Jennifer to complete this job on her own.
@MrNood

Answer 1

Let x be how long it takes Jennifer to do job,
then 1/x+ (1/(x-3))=1/2,
So x=6,

So it would take Jennifer 6 hours.

Answer 2

but how would i show work im lost

Answer 3

as usual @amonaroll32 too quick to show that hey can answer - and no help to the OP

Answer 4

will you help me show work?
@amonaroll32 @MrNood

Answer 5

i really need help

Answer 6

Hey I gave you an answer look at your closed post

Answer 7

Sorry I didn't realize your post was closed

Answer 8

OK - the amount of work to be done is "1 room"

so if Jennifer takes x hours to do th ework then her rate of work is 1room/xhours

OK so far??

and Carl takes x-3 hours so HIS rate of work is 1 room/x-3

Answer 9

how do i make it not closed i just started using open study @desiswag

Answer 10

I don't think you can make it open again, but you can still view the post

Answer 11

@MrNood okay i got 1/x +1/x-3=1/2 so far what would i do next

Answer 12

Now - we are told when they work together that the room is done in 2 hours so the total rate of work is 1room/2 hours

so the total work is 1/x+1/(x-3) = 1/2

Answer 13

http://openstudy.com/users/locad101#/updates/53e138bfe4b002c9d803d679

@locad101

Answer 14

\[\frac{ 1 }{ x }+ \frac{ 1 }{ (x-3) } = \frac{ 1 }{ 2}\]

yo can solve that for x

Answer 15

how would i do that though? @mrnood

Answer 16

@MrNood

Answer 17

I am not about to give oyu the complete solution.

This is a simple equation involving common denominators and re-arranging to solve for x

I guess that is the subject you are currently studying - so give it a try for yourself

(hint - first put the left side over a common denominator....)

Answer 18

alright so far i got 2x+6/2x^2+6x + 2x/2x^2+6x=x^2+3x/2x^2+6x

Answer 19

wait dont you times both sides by 2 i think i did it wrong @MrNood

Answer 20

Take it steady - FIRST sort out the common denominator

Answer 21

i dont g=know what to put for the common denominator

Answer 22

get***

Answer 23

I'm not sure I'm up for explaining how to solve equations.

start here:

\[\frac{ a }{ b} + \frac{ c}{ d } =\frac{ =(ad + cb) }{ bd }\]

the easiest common denominator is got by multiplying the two existing denominators