01. While working 8 hours a day, A alone can complete a piece of work in 8 days and B alone in 10 days. At what time would they complete it together, 5 hours a day? [Live MCQ-Bank Model]
Explanation: Here,
A's Work hours = 8 `\times` 8 = 64 hours
B's Work hours = 10 `\times` 8 = 80 hours
Let total work be 320 units
So in 1 hour,
A's work = `\frac{320}{64}` = 5 units
B's work = `\frac{320}{80}` = 4 units
Together their work = 9 units
So, hours need = `\frac{320}{9}` hours
and days need = `\frac{320}{9 \times 5}` = `\frac{64}{9}` days