SOLUTION: John can type 2/3 of a manuscript in 12 hours. If Laura and John work together, they can type the entire manuscript in 2 hours. If Laura worked alone, how long would it take her to

Question 284590: John can type 2/3 of a manuscript in 12 hours. If Laura and John work together, they can type the entire manuscript in 2 hours. If Laura worked alone, how long would it take her to type the manuscript?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
John is obviously not much of a typist and should just hire Laura to do it.
John will take 18 hours to type the thing by himself.
2/18+2/L=1
2L+36=18L
36=16L
9=4L
9/4=L
2 1/4=L
2.25=L
1/9+2/2.25=1
1/9+8/9=1
Laura does 8/9 of the work and John does 1/9 and most of his is probably errors.
Laura can do it alone in 2 hours 15 minutes.

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