Rimmi and Simmi can together finish a work in 40 days. They worked together for 30 days and then Simmi left. After another 30 days, Rimmi finished the remaining work alone. In how many days Rimmi alone can finish the work?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 120 days.
Concept used:
Total work = Efficiency × Time
Calculations:
Let the number of days taken by Rimmi and Simmi to do the work alone be R and S.
One day work of Rimmi and Simmi;
⇒ 1/R + 1/S = 1/40 ----- (1)
Rimmi and Simmi worked together for 30 days;
⇒ 30/R + 30/S = 30/40 ---- (2)
Solving equation (1) and (2), we get
⇒ Simmi can complete the work alone = 60 days
⇒ Rimmi can complete the work alone = 120 days
Hence, the number of days Rimmi alone can finish the work is 120.