9 Views

Question : A and B can do a piece of work in 45 and 40 days, respectively. They began the work together, but A left after some days and B finished the remaining work in 23 days. A left after:

Option 1: 6 days

Option 2: 9 days

Option 3: 12 days

Option 4: 5 days


Team Careers360 3rd Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 9 days


Solution : Given: A and B can do a piece of work in 45 and 40 days, respectively. They began the work together, but A left after some days and B finished the remaining work in 23 days.
Time taken by A to complete the work = 45 days
Work done by A in a 1 day = $\frac{1}{45}$ units
Time taken by B to complete the work = 40 days
Work done by B in a 1 day = $\frac{1}{40}$ units
Work done by B alone in 23 days = $(\frac{1}{40}×23)=\frac{23}{40}$ units
Work done by A and B together, in the beginning = $(1–\frac{23}{40})=\frac{17}{40}$ units
Work done by A and B together, in 1 day = $(\frac{1}{45}+\frac{1}{40})=\frac{17}{360}$ units
Time taken by A and B to complete $\frac{17}{40}$ units of work together = $\frac{\text{Total work done}}{\text{Work done by them in a day}}$
= $(\frac{360}{17}×\frac{17}{40})=9$ days
So, A left after 9 days.
Hence, the correct answer is 9 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