A takes twice as much time as B or thrice as much time as C to complete a piece of work. Working together, the trio can complete this work in 2 days. How many days will B take to complete the work alone?
Answer & explanation
Correct answer: option 2
According to the question,
A takes twice as much time as B or thrice as much time as C to complete a piece of work, therefore,
As, Efficiency α \(\frac{1}{Time}\)
⇒ A : B : C
Efficiency 1 : 2 : 3
⇒ A + B + C completes a work in 2 days = (1 + 2 + 3) x 2 = 12 units. ..(Efficiency × Days = Total work)
⇒ Time required by B to complete whole work alone = \(\frac{12}{2}\) = 6 days, ..(\(\frac{Work}{Efficiency}\) = Time)