Raj takes twice as much time as Sujay and three times as much time as Ronak to finish a piece of work. If Sujay can do the work alone in 6 days, then in how many days can all three together finish the same work?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 2 days
Given that
The Ratio of time taken by Raj, Sujay, and Ronak to finish a work is 6:3:2.
As we know,
The efficiency ratio is inversely proportional to the Time ratio
So, the efficiency of Raj, Sujay, and Ronak to finish a work is (1/6): (1/3) : (1/2) = 1 : 2 : 3
If Sujay can do the work alone in 6 days
Total work = 6 × 2 = 12 days
Hence, all three together can finish the same work in 12/(1 + 2 + 3) = 12/6 = 2 days