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

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) (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

RELATED QUESTIONS
If Clyde can do a job in 8 days and Irv can do the same job in 3 days, how long would it... (answered by josgarithmetic)

If Sam can do a job in 4 days, Lisa can do the same job in 6 days, and Tom can do the job (answered by stanbon)

. If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how... (answered by ankor@dixie-net.com)

If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how... (answered by jorel1380)

A,B and C can finish a job in 6 days. If B and C work together, the job will take 9 days; (answered by stanbon,harshachittar)

A does a job in 6 days while B can do the same job in 4 days. how long will it take A and (answered by josgarithmetic)

If one riveter can do a job in 12 days, and a second riveter can do it in 16 days, how... (answered by solver91311,ptaylor)

A and B together can finish a job in 36 days. If A can do as much work in 4 days as B... (answered by Edwin McCravy)

If A does a job in 16 hours and B does the same job in 12 hours, if B and C do the job... (answered by josmiceli,richwmiller)