SOLUTION: it takes mary 3 hours to do a job that it takes jane. If they work together, they can finish the same job in 2 hours. how long would it take mary to finish the job alone ?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: it takes mary 3 hours to do a job that it takes jane. If they work together, they can finish the same job in 2 hours. how long would it take mary to finish the job alone ?      Log On


   



Question 906783: it takes mary 3 hours to do a job that it takes jane. If they work together, they can finish the same job in 2 hours. how long would it take mary to finish the job alone ?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
rate for A alone 3
rate for A & B together 2
1/a+1/b=1/x
1/3+1/b=1/2
1/b=1/2-1/3
1/b=3/6-2/6
1/b=1/6
1/b=1/6
b=6
rate for B alone 6
check
1/3+1/6=1/2
6/18+3/18=1/2
9/18=1/2
ok