Sohan and Rohan together can do a piece of work in 18 days. If Sohan alone can do the same work in 27 days, then how many days Rohan alone takes to complete the same work?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 54.
Sohan and Rohan together can do a piece of work in 18 days and
Sohan alone can do the same work in 27 days
L.C.M(18 and 27) = 54
The efficiency of Sohan and Rohan = 54/18 = 3 units
The efficiency of Sohan = 54/27 = 2 units
The efficiency of Rohan = 3 - 2 = 1 unit
Time taken by Rohan = 54/1 = 54 days