SOLUTION: to do a job alone, it would take dan 6 hours, fran 2 hours, stan 3 hours. how long would it take to dot he job if they all worked together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: to do a job alone, it would take dan 6 hours, fran 2 hours, stan 3 hours. how long would it take to dot he job if they all worked together?      Log On


   

Question 429935: to do a job alone, it would take dan 6 hours, fran 2 hours, stan 3 hours. how long would it take to dot he job if they all worked together?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x represent time it would take to do the job if they all worked together

Question states***Per hour the Equalizer

 1/6 + 1/2 + 1/3 = 1/x    

Solving for x 

  x + 3x + 2x = 6    | multiplying thru by 6x so as all denominators= 1 

      6x = 6

       x = 1hr, time it would take to do the job if they all worked together



CHECKING our Answer***

   1/6 + 3/6 + 2/6 = 1