SOLUTION: Archie does as much work in three hours as Bill does in four hours. Bill's son works half as fast as Bill. If the three working together are paid $8.50, how much should each receiv

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Archie does as much work in three hours as Bill does in four hours. Bill's son works half as fast as Bill. If the three working together are paid $8.50, how much should each receiv      Log On


   

Question 627842: Archie does as much work in three hours as Bill does in four hours. Bill's son works half as fast as Bill. If the three working together are paid $8.50, how much should each receive?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Archie does as much work in three hours as Bill does in four hours.  B = 3/4 A or A+=+%284%2F3%29B

Bill's son works half as fast as Bill. Son+=+B%2F2

Question states*** together they earn $8.50 per hour

    %284%2F3%29B+%2B+B+%2B+B%2F2+=+8.50   |Multiplying thru by 6 so as all denominators = 1

  8B + 6B + 3B =  51

            17b = $51

              B = $3.00  Son = $1.50  and A = $4.00

and...

 $3.00 + $4.00 + $1.50 = $8.50