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
+118608 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.
