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2 painters and 3 helpers paint a house in 2 1/2 days; 1 painter and 1 helper take 6 days. How long would one helper take alone?

Class 10Work Rates with Two UnknownsAlgebra — Systems of Equations

A15 days
B10 days
C12 days
D20 days

Step-by-Step Solution

2 p + 3 h = \frac{2}{5}, p + h = \frac{1}{6}

. Double the second:

2 p + 2 h = \frac{1}{3}

. Subtract:

h = \frac{1}{15}

.

Answer: A) 15 days

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