SOLUTION: kent can cut and split the firewood twice as fast as brent. when they work together it takes them 4hr. how long would it take each of them to do the job?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: kent can cut and split the firewood twice as fast as brent. when they work together it takes them 4hr. how long would it take each of them to do the job?      Log On


   

Question 855284: kent can cut and split the firewood twice as fast as brent. when they work together it takes them 4hr. how long would it take each of them to do the job?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let x represent Kent's time   

 +1%2Fx+%2B+1%2F2x+=+1%2F4+    |Multiplying thru by 4x so as all denominators = 1

   4 + 2 = x

    6hr = x, Kent's time.  Brent takes 12hr  

CHECKING our answer***

 1%2F6+%2B+1%2F12+=+2%2F12+%2B+1%2F12+=+3%2F12+=+1%2F4

Wish You the Best in your Studies.