Painter A can paint a building in 12 days while Painter B can paint it in 16 days. If A and B work on alternate days, and A starts the work on the first day, then the number of days required to…
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Painter A can paint a building in 12 days while Painter B can paint it in 16 days. If A and B work on alternate days, and A starts the work on the first day, then the number of days required to paint the building is
Answer and explanation
Correct answer: A - \(13\frac{2}{3}\)
A does 1/12 and B 1/16 per day, so a 2-day pair does 7/48. After 6 pairs (12 days) 42/48 is done; day 13 (A) adds 4/48 leaving 2/48, which B finishes in (2/48)/(3/48) = 2/3 day. Total 13 2/3 days.
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