X takes twice as much time as Y and thrice as much time as Z to finish a job. Working all together, they can finish it in 2 days. Y alone can finish the job in:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 6 days
According to the question
Let's assume x can finish the work = 6 days
y can finish the work = 3 days
z can finish the work = 2 days
LCM of 2, 3, and 6 = 6
Efficiency of x = 6/6 = 1
Efficiency of y = 6/3 = 2
Efficieny of z = 6/2 = 3
They can together finish the work in 2 days. So the total work = 2 × (1 + 2 + 3) = 12
So, the y can finish the work alone = 12/2 = 6 days