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Cindy and John, working together, can paint the deck in 2 hours. Working alone, John takes twice as long as Cindy. How long does it take Cindy to paint the deck alone?

 Mar 31, 2020
 #1
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1/C + 1/(2C) = 1/2, solve for C

 

C = 3 hours - Cindy working alone

3 x 2 = 6 hours -John working alone.

 Mar 31, 2020
 #2
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x = time for cindy alone

2x = John time alone

 

 

1/x + 1/2x = 1/2      mutiply both sides by   x    and 2x

 

2x   + x   = 1/2 (x)(2x)

3x = x^2

x^2 - 3x = 0

x(x-3) = 0       so x = 3   or 0 (throw out)           x = cindy alone = 3  hours

 Mar 31, 2020

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