In one-sixth of the time that B takes to complete a piece of work, A can complete half of the same work. If working together they take 16 days to complete the work, how much time shall B take to complete it alone?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 64 days.
According to the question,
In one-sixth of the time that B takes to complete a piece of work, A can complete half of the same work.
A × 1/2 = B × 1/6
A/B = 3/1
Efficiency of A = 3 unit/day
Efficiency of B = 1 unit/day
Total work = (3 + 1) × 16 = 64
So, the total time taken by B = 64/1 = 64 days