B₁ and B₂ can do a piece of work together in 8 days, B₂ and B₃ can do the same work together in 16 days, while B₁ and B₃ can do it together in 32 days. What percentage of the total work can all the 3 people, working together, do in 4 days ?

43.75%

B1 + B2 = 8 days,

B2 + B3 = 16 days,

B3 + B1 = 32 days,

⇒ Adding all the efficiencies,

⇒ 2(B1 + B2 +B3) = 7,

⇒ B1 + B2 + B3 = 3.5,

⇒ They worked for 4 days = 3.5 x 4 = 14 units,

⇒ Percentage of work completed = \(\frac{14}{32}\) x 100 = 43.75%