SOLUTION: please help me with this problem ): I have no idea where to begin and how to solve this. help! ): ):
Sarah can build a fence in 9 hours. Joe can do the same in 6 hours. How lon
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Question 760013: please help me with this problem ): I have no idea where to begin and how to solve this. help! ): ):
Sarah can build a fence in 9 hours. Joe can do the same in 6 hours. How long would it take them working together, to build the fence?
t=time together
1=the completed job
t/9=fraction of fence built by Sarah in t hours
t/6=fraction of fence built by Joe in t hours.
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Build a Fence is 1 job.
R is rate in jobs per hour
t is time in hours
j is how many jobs.
Work in units of jobs per hour.
Sarah: jobs per hour.
Joe: jobs per hour.
Combined rate of Sarah AND Joe: jobs per hour.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Sarah's rate of working is:
( 1 fence built ) / ( 9 hours )
Joe's rate of working is:
( 1 fence built ) / ( 6 hours )
------------------------
If you add their rates of working, you get
their rate working together.
( Sarah's rate ) + ( Joe's rate ) = ( 1 fence built ) / ( t hours )
Notice that I want t hours to be the time to build 1 fence
------------------------------------------------
The equation is:
Multiply both sides by
hrs
It will take them 3 hrs and 36 min working together
------------------------
t/9=fraction of fence built by Sarah in t hours
t/6=fraction of fence built by Joe in t hours.
You can arrive at this by multiplying both sides by
Time is now eliminated and the equation says:
( Sarah's part ) + ( Joe's part ) = 1 fence built
OK
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