SOLUTION: Painters A and B can paint a wall in 10 hours when working at the sametime. Painter B works twice as fast as A. How long would it take to each of them to paint if they worked alone

Question 441244: Painters A and B can paint a wall in 10 hours when working at the sametime. Painter B works twice as fast as A. How long would it take to each of them to paint if they worked alone?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi

Painter B works twice as fast as A.

Let x and 2x represent time(in hours)it takes solo for B and A

Question states***Per hour the equalizer

 1/x + 1/2x = 1/10  |Multiplying thru by 10x so as all denominators = 1

  10 + 5 = x

     x = 15hr, time solo for B.  time solo for A is 30hr



CHECKING our Answer***

 1/15 + 1/30 = 2/30 + 1/30 = 3/30 = 1/10 

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