2 Views

Question : A can do a piece of work in 20 days and B in 15 days. With the help of C, they finish the work in 5 days. C can alone do the work in:

Option 1: 5 days

Option 2: 6 days

Option 3: 10 days

Option 4: 12 days


Team Careers360 13th Jan, 2024
Answer (1)
Team Careers360 14th Jan, 2024

Correct Answer: 12 days


Solution : Given: A alone can do the work in 20 days.
B alone can do the work in 15 days.
A, B, and C together finish the work in 5 days.
Let C alone finish the work in $x$ days.
As per given conditions,
⇒ $\frac{1}{5}=\frac{1}{20}+\frac{1}{15}+\frac{1}{x}$
⇒ $\frac{1}{x}=\frac{1}{5}–\frac{1}{20}–\frac{1}{15}$
⇒ $\frac{1}{x}=\frac{12–3–4}{60}$
⇒ $\frac{1}{x}=\frac{5}{60}$
⇒ $\frac{1}{x}=\frac{1}{12}$
⇒ $x=12$ 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