A does half as much work as B in three-fourth of the time. If together they take 66 days to complete the work, how many days shall B alone take to do it?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 110.
Let B’s work rate = 1 unit/day
A does half as much work as B in 3/4 time →
A’s rate = (1/2) ÷ (3/4) = 2/3 units/day
Together rate = 1 + 2/3 = 5/3 units/day
Time together = 66 days → Total work = (5/3) × 66 = 110 units
B alone takes = Total work ÷ B’s rate = 110 ÷ 1 = 110 days