The time taken by Anjali to finish a piece of work is four times the time taken by Ron and three times the time taken by John. If all three of them work together, it takes them 4 days to complete the entire work. How much time does Ron alone take to finish the work?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 8 days.
Let's assume the ratio of the time taken by Anjali, Ron and John = 12x : 3x : 4x
The total work = LCM of 12x, 3x, and 4x = 12x
The ratio of the efficiency of Anjali, Ron and John = 1 : 4 : 3
Total Work = Total Time × Rate of Work
According to the question,
12x/8 = 4
x = 8/3
So, Ron can alone finish the task = {12 × (8/3)}/4
= 8 days