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Solving Work Word Problems

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Algebra Applications: Work Problems: Time to do alone, Time to do together, ....

See Also: Work: Time To Do Alone
See Also: Work: Time To Do Together
See Also: Work: Work Time Relationship

What You Enter
If John can type a paper in 10 hours, and he and George can type it in 4 hours, how long would it take George to type the same paper alone?






What You Get
                                      
Time for JOHN alone is 10 Hours.
Time for both together is 4 Hours.
Let T = Time for GEORGE  in Hours.
 
1   1   1
-- + - = -      Eq #1
10   t   4
 
1   1   1
- = - - --      Eq #2
t   4   10
 
LCM of 10 and 4 = 20.
 
 1   5 - 2
-- = -----      Eq #3
t     20  
 
 1    3 
-- = ----      Eq #4
t     20 
 
      20
 t = --- Hours      Eq #5
      3 




































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Updated July 22, 2009
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