SOLUTION: It takes Brenda 15 hours to clean an attic. Danielle can clean the same attic in 13 hours. How long would it take them if they worked together.
Question 1041930: It takes Brenda 15 hours to clean an attic. Danielle can clean the same attic in 13 hours. How long would it take them if they worked together. Found 2 solutions by josmiceli, Edwin McCravy:Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website! Brenda's rate of working:
[ 1 attic cleaned ] / [ 15 hrs ]
Danielle's rate of working:
[ 1 attic cleaned ] / [ 13 hrs ]
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Add their rates of working to get
their rate working together
Let = time in hrs for them to
clean the attic working together
Multiply both sides by hrs
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check the answer:
OK Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
Their rates are and
Their combined rate is the sum of their rates .
Since
Then since they are to do 1 job, the number of jobs is 1, and
Multiply top and bottom by LCD = 15∙13=195
Edwin