crawford can paint a fence by himself in 15 hours and bernice can paint the same fence in 16 hours. How long will it take them to paint the fence if they work together?
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Divide the two in half, and find the average of those two.
7.5, 8
*7.75*
OR
(1/16 + 1/15)x = 1
Find x
(31/240)x = 1
*7.5*
7.5, 8
*7.75*
OR
(1/16 + 1/15)x = 1
Find x
(31/240)x = 1
*7.5*
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Portion of the fence that Crawford can paint in x hours = x/15
Portion of the fence that Bernice can paint in x hours = x/16
Working together
(Crawford's part) + (Bernice's part) = 1
x/15 + x/16 = 1
and solve for x.
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fast way for competitions
use the parallel work formula
15*16/(15+16)
Portion of the fence that Bernice can paint in x hours = x/16
Working together
(Crawford's part) + (Bernice's part) = 1
x/15 + x/16 = 1
and solve for x.
-----
fast way for competitions
use the parallel work formula
15*16/(15+16)
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Depends on how big the fence is.Right?