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6 boys and 8 girls finish a project in 10 days; 26 boys and 48 girls finish it in 2 days. How long would one boy take alone?

Class 10Work Rates with Two UnknownsAlgebra — Systems of Equations

A140 days
B200 days
C100 days
D70 days

Step-by-Step Solution

6 b + 8 g = \frac{1}{10}, 26 b + 48 g = \frac{1}{2}

. Multiply the first by 6:

36 b + 48 g = \frac{3}{5}

. Subtract:

10 b = \frac{1}{10}

, so

b = \frac{1}{100}

. (A girl takes 200 days.)

Answer: C) 100 days

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