SOLUTION: A farmer can plow a certain field three times as fast as his son. Working together, it would take them 6 hours to plow the field.How long would it take each to do it alone? Please

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A farmer can plow a certain field three times as fast as his son. Working together, it would take them 6 hours to plow the field.How long would it take each to do it alone? Please      Log On


   

Question 666541: A farmer can plow a certain field three times as fast as his son. Working together, it would take them 6 hours to plow the field.How long would it take each to do it alone?
Please help me solve this problem.
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Rate(farmer): 3%281%2Fx%29
Rate(son): 1%2Fx
Rate(together): 1%2F6
...
3%281%2Fx%29+%2B+%281%2Fx%29+=+%281%2F6%29
Multiply the entire equation by 6x

18 + 6 = x
...
x = 24
...
Rate(farmer): 3%281%2F24%29+=+1%2F8 highlight_green%288+hours%29
Rate (son): 1%2F24 highlight_green%2824+hours%29
.....................
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