SOLUTION: Mrs. Hensen cataloged a group of incoming library books in 8 hours. Mr. Taylor can catalog the same number of books in 4 hours. Mrs. Phillips can catalog them in 6 hours. How long

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Question 996305: Mrs. Hensen cataloged a group of incoming library books in 8 hours. Mr. Taylor can catalog the same number of books in 4 hours. Mrs. Phillips can catalog them in 6 hours. How long would it take if they all worked together?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of working:
Call the task:
[ 1 job ]
Mrs. Hensen's rate:
[ 1 job ] / [ 8 hrs ]
Mr. Taylor's rate:
[ 1 job ] / [ 4 hrs ]
Mrs. Phillips' rate:
[ 1 job ] / [ 6 hrs ]
-----------------
Let +t+ = their time if they
all work together
----------------
+1%2F8+%2B+1%2F4+%2B+1%2F6+=+1%2Ft+
+3%2F24+%2B+6%2F24+%2B+4%2F24+=+1%2Ft+
+13%2F24+=+1%2Ft+
+t+=+24%2F13+
+t+=+1+%2B+11%2F13+
+%28+11%2F13+%29%2A60+=+50.8+
It will take them 1 hr 51 min
if they all work together