### Math Notes

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#### Algebra Solutions

##### Topics || Problems

Algebra
When A and B both work, they can paint a certain house in 8 days. Also, they could paint this house if A worked 12 days and B worked 6 days. How long would it take each to paint the house alone? Solution:

Rate of A: $$\frac{1}{A}$$

Rate of B: $$\frac{1}{B}$$

$$\frac{1}{A} + \frac{1}{B} = \frac{1}{8}$$

$$\frac{12}{A} + \frac{6}{B} = 1$$