SOLUTION: Tom can type a document in four hours. Dick can type the same document in 5.5 hours. How long will it take them to type the document if they work together? Thank you

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Question 1046881: Tom can type a document in four hours. Dick can type the same document in 5.5 hours. How long will it take them to type the document if they work together?
Thank you

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of typing
Tom's rate:
[ 1 document ] / [ 4 hrs ]
Dick's rate:
[ 1 document ] / [ 4 hrs ]
-----------------------
Let +t+ = their time in hrs working together
+1%2F4+%2B+1%2F5.5+=+1%2Ft+
Multiply both sides by +4%2A5.5t+
+5.5t+%2B+4t+=+22+
+9.5t+=+22+
+t+=+2.31579+
it will take them 2.31579 hrs