SOLUTION: Three workers are named x, y and z . suppose that together x and y can do a job in 4 hours , x and z can do it in 6 hours and x, y and z can do the job in 3 hours . how many hour

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Three workers are named x, y and z . suppose that together x and y can do a job in 4 hours , x and z can do it in 6 hours and x, y and z can do the job in 3 hours . how many hour      Log On


   



Question 291586: Three workers are named x, y and z . suppose that together x and y can do a job in 4 hours , x and z can do it in 6 hours and x, y and z can do the job in 3 hours . how many hours will y alone need to do the job ?
A 6 hrs b 8 hrs c 10 hrs d 12 hrs e none of these

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
4/x+4/y=1
6/x+6/z=1
3/x+3/y+3/z=1
x = 12, y = 6, z = 12