A and B can polish the floors of a building in 25 days. A alone can do $\frac{1}{3}$ of the job in 15 days. In how many days can B alone polish the floors of the building?

$56 \frac{1}{4}$

Time taken by A to complete the work = 3 × 15 = 45 days

Efficiency of B = 9 - 5 = 4

Total work = Efficiency × Time

Time taken by B to complete the work = \(\frac{ 225 }{ 4 }\)

= 56\(\frac{1}{ 4 }\)

The correct answer is Option (2) → $56 \frac{1}{4}$