SOLUTION: Jim and Frank can finish a job in 6 days. Tim and Jim can finish a job in 7.5 days. Tim and Frank can finish a job in 10 days. If they work alone, how long will it take each one

Question 836172: Jim and Frank can finish a job in 6 days.
Tim and Jim can finish a job in 7.5 days.
Tim and Frank can finish a job in 10 days.
If they work alone, how long will it take each one to complete the job?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
1/j+1/f=1/6,
1/t+1/j=1/7.5,
1/t+1/f=1/10
f = 15, j = 10, t = 30
check
1/10+1/15=1/6
3/30+2/30=1/6
5/30=1/6
ok
1/10+1/30=1/7.5
3/30+1/30=1/7.5
4/30=1/7.5
ok
1/30+1/15=1/10
1/30+2/30=1/10
3/30=1/10
ok

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