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?

Guest Mar 31, 2020

#1**0 **

1/C + 1/(2C) = 1/2, solve for C

C = 3 hours - Cindy working alone

3 x 2 = 6 hours -John working alone.

Guest Mar 31, 2020

#2**+1 **

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

ElectricPavlov Mar 31, 2020