A is twice as good a workman as B and together they finish a piece of work in 14 days. The number of days that A alone will take to finish the work is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 21
“Twice as good a workman” means A does twice as much work as B in a day. So the work done together in a day is shared 2 : 1 between A and B.
A and B together in one day: \(\frac{1}{14}\) of the work
A’s share is 2 parts out of 3: \(\displaystyle\frac{2}{3}\times\frac{1}{14}=\frac{1}{21}\) of the work a day
So A alone needs 21 days