380 Views

Question : A and B are equally efficient and each could individually complete a piece of work in 30 days if none took any holiday. A and B started working together on this piece of work, but A took a day off after every four days of work, while B took a day off after every five days of work. If the duo had started work on 01 August 2022, on which date was the work completed?

Option 1: 19 August 2022

Option 2: 17 August 2022

Option 3: 16 August 2022

Option 4: 18 August 2022


Team Careers360 9th Jan, 2024
Answer (1)
user-img
Team Careers360 24th Jan, 2024

Correct Answer: 18 August 2022


Solution : Time taken by A and B individually to do the work = 30 days
Let total work = 30 units
Since A and B have equal efficiency,
Work done by A in a day = work done by B in a day = 1
In 18 days A takes 3 leaves and B takes 3 leaves.
$\therefore$ Work done in 18 days = work done by A in 15 days + work done by B in 15 days = 15 + 15 = 30 units
$\therefore$ On the 18th day, the date will be 18 August 2022.
Hence, the correct answer is 18 August 2022.

SSC CGL Complete Guide

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

Download EBook

Know More About

Related Questions

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