A, B, and C can complete a work in 9 days and B can do the same work in 18 days. If B takes 33.33% less time than C, find the time taken by C to complete the work.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 27 days
Given that
A, B, and C together complete a work in 9 days
B can also do the same work in 18 days
According to the question
(A + B + C) × 9 = B × 18
A + B + C = 2 B
A + C = B
if B takes 1/3 less time than C
then B takes time 2 units and C takes time of 3 units
The efficiency is inversely proportional to the time taken
Hence, the efficiency of B and C are 3 and 2 respectively.
Total work = B × 18 = 3 × 18 = 54
Thus, the Time taken by C to complete the work = 54/2 = 27 days