54 Views

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


Team Careers360 1st Jan, 2024
Answer (1)
Team Careers360 2nd Jan, 2024

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.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books