Pranjal takes twice as much time as Vikram or thrice as much time as Ashwin to finish a piece of work. Working together, they can finish the work in 6 days. Vikram can do the work alone in:
Answer & explanation
Correct answer: option 1
According to the question,
Pranjal takes twice as much time as Vikram or thrice as much time as Ashwin to finish a piece of work.
Efficiency α \(\frac{1}{Time}\)
Therefore,
Pranjal : Vikram : Ashwin
Efficiency 1 : 2 : 3
⇒ All of them working together can complete the work in 6 days = (1+2+3) x 6 = 6 x 6 = 36 units, ..(Efficiency × Days = Total work)
⇒ Time required for Vikram to complete the work alone = \(\frac{36}{2}\) = 18 days, ..(\(\frac{Work}{Efficiency}\) = Time)