Amit and Ananthu can do a work in 15 days and 60 days respectively. Amit started the work and left after 3 days. Ananthu took over and completed the work. In how many days was the total work completed?
Choose the correct choice from the following:
A) 38 days	B) 40 days	C) 43 days	D) 45 days	E) 51 days

Rationale: "amit ’ s one day ’ s work = 1 / 15 amit ’ s 3 day ’ s work = 1 / 15 * 3 = 1 / 5 work left = 1 - 1 / 5 = 4 / 5 ananthu ’ s one day ’ s work = 1 / 60 ananthu can do work in = 4 / 5 * 60 = 48 days so total days = 48 + 3 = 51 days answer : e"
Answer: E