4 Views

Question : A and B can do a piece of work in 8 days, B and C can do the same work in 12 days and A, B, and C complete it in 6 days. Find the number of days required to finish the work by A and C is:

Option 1: 16

Option 2: 8

Option 3: 12

Option 4: 24


Team Careers360 21st Jan, 2024
Answer (1)
Team Careers360 22nd Jan, 2024

Correct Answer: 8


Solution : Let the total work is 1 unit.
The efficiency of A and B is $\frac{1}{8}$, the efficiency of B and C is $\frac{1}{12}$ and the efficiency of A, B, and C is $\frac{1}{6}$.
Efficiency of A = Efficiency of (A, B, C) – Efficiency of (B, C)
$= \frac{1}{6} – \frac{1}{12} = \frac{1}{12}$
Efficiency of C = Efficiency of (A, B, C) – Efficiency of (A, B)
$= \frac{1}{6} – \frac{1}{8} = \frac{1}{24}$
Efficiency of (A + C) = Efficiency of A + Efficiency of C
$= \frac{1}{12} + \frac{1}{24} = \frac{3}{24} = \frac{1}{8}$
Hence, the number of days required to finish the work by A and C is 8 days.
Hence, the correct answer is 8.

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