Correct Answer - Option 3 : 2.0
Suppose, A can complete the task in = x days,
B can complete the task in = y days
According to the question,
1/x + 1/y = 1/1.2
⇒ x + y = xy/1.2 ----(i)
A completes half the job in = x/2 days and B completes half the job in = y/2 days
⇒ x/2 + y/2 = 2.5
⇒ x + y = 5 ----(ii)
From (i) and (ii), we get,
xy/1.2 = 5
⇒ xy = 6
⇒ x = 6/y ----(iii)
From (ii) and (iii) we get,
6/y + y = 5
⇒ 6 + y2 = 5y
⇒ y2 – 3y – 2y + 6 = 0
⇒ y(y – 3) – 2(y – 3) = 0
⇒ (y – 3) (y – 2) = 0
⇒ y = 3 or 2
For y = 3, x = 6/3 = 2
For y = 2, x = 6/2 = 3
∵ B is more efficient than A
∴ B take less days than A
∴ B would take 2 days to complete the task