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Brad paints a house in 5 days. When his brother Nick joins him, they can paint a house in 3 days. How long does it take Nick to paint the house alone

 Mar 9, 2020
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Brad paints a house in 5 days. When his brother Nick joins him, they can paint a house in 3 days. How long does it take Nick to paint the house alone

 

Brad paints  1/5 of a house per day

Brad and Nick together paint 1/3 house per day.

 

so   if Nick paints x houses per day then

then

x houses per day + 1/5 houses per day = 1/3 houses per day

 

\(x+\frac{1}{5}=\frac{1}{3}\\ x=\frac{1}{3}-\frac{1}{5}\\ x=\frac{2}{15}\)

 

Nick paints 2 houses in 15 days.

So it takes him 7.5 days to paint a house by himself.

 Mar 9, 2020

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