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
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-> 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
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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):
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