Every week Linda must stuff 1000 envelopes. She can do the job by herself in 6hrs. If Laura helps, they get done in 5 1/2 hrs. How long would it take Laura to do the job herself?

Question

Every week Linda must stuff 1000 envelopes.  She can do the job by herself in 6hrs.  If Laura helps, they get done in 5 1/2 hrs.  How long would it take Laura to do the job herself?

drwls · Answer

Let Laura's time by herself be x. The equation to solve is 1/6 + 1/x = 1/5.5 = 2/11 1/x = 2/11 -1/6 = 12/66 - 11/66 = 1/66 x = 66 hours (That's why Laura isn't much help)

javarrius · Answer

m(m - 3) < 54