SOLUTION: if trey can clean a house in 6 hours and matt can clean a house in 8 hours. how long would it take for them to clean a house together?

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Question 875440: if trey can clean a house in 6 hours and matt can clean a house in 8 hours. how long would it take for them to clean a house together?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of cleaning
Trey's rate:
( 1 house ) / ( 6 hrs )
Matt's rate:
( 1 house ) / ( 8 hrs )
---------------------------
Let +t+ = the time in hrs for
them to clean the house together
+1%2F6+%2B+1%2F8+=+1%2Ft+
Multiply both sides by +24t+
+4t+%2B+3t+=+24+
+7t+=+24+
+t+=+3.4285+
They can clean the house in 3.4285 hrs
working together