Question : Akshita and Raina are typing a book, but have only one laptop to work on. They decided that they would work on an alternate basis such that Akshita would work for the first day, Raina would work for the second day, Akshita for the third day and so on. Akshita alone can finish the typing work in 16 days, while Raina will take 24 days if she works alone on the entire book. How many days will they take to finish the typing work if they work on an alternate basis?
Option 1: 15
Option 2: 18
Option 3: 19
Option 4: 17
Correct Answer: 19
Solution :
Time taken by Akshita to complete the work = 16 days
Part of work done by Akshita in a day = $\frac{1}{16}$
Time taken by Raina to complete the work = 24 days
Part of work done by Raina in a day = $\frac{1}{24}$
Part of the work done by Akshita and Raina in 2 days = $\frac{1}{16}+\frac{1}{24}=\frac{3+2}{48}=\frac{5}{48}$
Part of the work done by Akshita and Raina in 18 days =$ \frac{5×9}{48}=\frac{45}{48}$
Remaining work = $\frac{48-45}{48} = \frac{3}{48} = \frac{1}{16}$
Time taken by Raina to complete the remaining work = $\frac{\frac{1}{16}}{\frac{1}{16}}=1$ day
Total time taken = 18 + 1 = 19 days
Hence, the correct answer is 19.
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Application | Eligibility | Selection Process | Result | Cutoff | Admit Card | Preparation Tips
Get Updates BrochureYour Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.