Question : Ramesh alone can complete a work in 24 days. Ramesh and Somesh can complete it in 8 days. How long will Somesh alone take to complete the work?
Option 1: 10 days
Option 2: 15 days
Option 3: 14 days
Option 4: 12 days
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: 12 days
Solution :
Time taken by Ramesh and Somesh to complete the work = 8 days
⇒ Part of work done by Ramesh and Somesh together in a day = $\frac{1}{8}$
Time taken by Ramesh alone to complete the work = 24 days
⇒ Part of work done by Ramesh alone in a day = $\frac{1}{24}$
Let the time taken by Somesh alone to complete the work = $x$ days
⇒ Part of work done by Somesh alone in a day = $\frac{1}{x}$
⇒ $\frac{1}{24} + \frac{1}{x} = \frac{1}{8}$
⇒ $\frac{1}{x} = \frac{1}{8}–\frac{1}{24} = \frac{3–1}{24} = \frac{1}{12}$
⇒ Time taken by Somesh alone to complete the work = 12 days
Hence, the correct answer is 12 days.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
