A and B can do a piece of work in 4 days. B and C can do it in 12 days and A and C in 16 days. Working together they will complete the work in how many days? Choose the correct choice from the following choices:	A) 4.05 days	B) 5.05 days	C) 14.76 days	D) 8.05 days	E) 15.05 days

Rationale: "a + b = 1 / 4 b + c = 1 / 12 c + a = 1 / 16 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 2 ( a + b + c ) = 1 / 4 + 1 / 12 + 1 / 16 = 19 / 48 a + b + c = 19 / 96 96 / 19 = 5.05 days answer : b"
Answer: B