SOLUTION: a mason can build a wall in 6 hours less than an apprentice. working together they can build a wall in 4 hours. how long would it take the apprentice working alone?
so far i h
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Question 194236: a mason can build a wall in 6 hours less than an apprentice. working together they can build a wall in 4 hours. how long would it take the apprentice working alone?
so far i have 1/x + 1/x-6 = 1/4. i think my next step is the find the lcm/lcd but that is where i am having problems.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
good so far
you don't need a lcm/lcd
just multiplying by the individual denominators will clear the fractions
multiplying by 4(x)(x-6) ___ 4(x-6) + 4x = x(x-6)
4x - 24 + 4x = x^2 - 6x
subtracting 8x-24 ___ 0 = x^2 - 14x + 24
factoring ___ 0 = (x-2)(x-12)
x = 2 and x = 12 ___ from the statement of the problem, 2 is not realistic
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