SOLUTION: Two workers: A and B can work together in 8 hours, and worker B can work in 12 hours alone. How long worker B will take for same work, while working alone at the same rate?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Two workers: A and B can work together in 8 hours, and worker B can work in 12 hours alone. How long worker B will take for same work, while working alone at the same rate?      Log On


   

Question 823414: Two workers: A and B can work together in 8 hours, and worker B can work in 12
hours alone. How long worker B will take for same work, while working alone at the
same rate?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two workers: A and B can work together in 8 hours, and worker B can work in 12
hours alone. How long worker A will take for same work, while working alone at the same rate?
----
Together rate: 1/8 job/hr
B worker rate: 1/12 job/hr
A worker rate: 1/x job/hr
-------
Equation:
rate + rate = together rate
1/x + 1/12 = 1/8
-----
12*8 + 8x = 12x
4x = 12*8
x = 24 hrs. (time for A to do the job alone)
==============
Cheers,
Stan H.
==============