8 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
GRE ® Registrations 2024
Apply
Apply for GRE® Test now & save 10% with ApplyShop Gift Card | World's most used Admission Test for Graduate & Professional Schools
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