SOLUTION: If A does a job in 16 hours and B does the same job in 12 hours, if B and C do the job together in 4 hours how long would it take C to do the job himeself

Question 905102: If A does a job in 16 hours and B does the same job in 12 hours, if B and C do the job together in 4 hours how long would it take C to do the job himeself
Found 2 solutions by josmiceli, richwmiller:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
B and C together:

Multiply both sides by

It takes C 6 hrs to do the job alone

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
1/b+1/c=1/4
1/12+1/c=1/4
rate for A alone 12
rate for A & c together 4
1/a+1/c=1/x
1/12+1/c=1/4
1/c=1/4-1/12
1/c=12/48-4/48
1/c=8/48
1/c=1/6
c=6
rate for c alone 6
check
1/12+1/6=1/4
6/72+12/72=1/4
18/72=1/4
ok

Note we have extra info. We don't need the info about A unless you left something out
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