SOLUTION: An office has two envelope-filling machines. Working together, they can fill a batch of envelopes in 2 hours. Working separately, it will take the second machine 1 hour longer than

Algebra ->  Rate-of-work-word-problems -> SOLUTION: An office has two envelope-filling machines. Working together, they can fill a batch of envelopes in 2 hours. Working separately, it will take the second machine 1 hour longer than      Log On


   

Question 1127323: An office has two envelope-filling machines. Working together, they can fill a batch of envelopes in 2 hours. Working separately, it will take the second machine 1 hour longer than the first machine to fill a batch of envelopes. How long will it take each machine to fill a batch of envelopes by themselves? Give your answer correct to the nearest minute.
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
t, time for first machine to do 1 job, alone
t%2B1, time for second machine to do 1 job, alone

1%2Ft%2B1%2F%28t%2B1%29=1%2F2------both machines together do 1 job in 2 hours.
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t%5E2-3t-2=0

highlight%28t=%283%2Bsqrt%2817%29%29%2F2%29, hours,firstmachine