Find each worker`s rate per hour, add them, then take the reciprocal for the combined time.
• A`s rate = \( \frac{1}{6} \) house per hour; B`s rate = \( \frac{1}{10} \) house per hour.
• Combined rate = \( \frac{1}{6} + \frac{1}{10} = \frac{5}{30} + \frac{3}{30} = \frac{8}{30} = \frac{4}{15} \)
• Time = \( 1 \div \frac{4}{15} = \frac{15}{4} = 3\frac{3}{4} \) hours
Check: In 3.75 h, A paints \( 3.75 \times \frac{1}{6} = 0.625 \) house; B paints \( 3.75 \times \frac{1}{10} = 0.375 \) house. Total = 1. ✓
Final Answer: A = 3, B = 3, C = 4