SOLUTION: A and B together can do a job in 12 days, and B and C together can do the same job in 16 days. How long would it take them all working together to do the same job if A does 1 1/2 t

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A and B together can do a job in 12 days, and B and C together can do the same job in 16 days. How long would it take them all working together to do the same job if A does 1 1/2 t      Log On


   

Question 807168: A and B together can do a job in 12 days, and B and C together can do the same job in 16 days. How long would it take them all working together to do the same job if A does 1 1/2 times as much as C? (hint: each pair are doing 1 job)
Please and thank you
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
12/a+12/b=1,
16/b+16/c=1,
d/a+d/b+d/c=1
a = 16, b = 48, c = 24, d = 8
all three do the job in 8 hours.
check
12/16+12/48=1
3/4+1/4=1
16/48+16/24=1
1/3+2/3=1
8/16+8/48+8/24=1
1/2+1/6+1/3=1
ok