114 Views

Question : 10 women took 16 days to complete a work which can be completed by 6 men in 8 days. 12 men started working and after 2 days 6 men left and 5 women joined them. In how many days will the remaining work be completed?

Option 1: $\frac{3}{2}$

Option 2: $\frac{16}{5}$

Option 3: $\frac{5}{2}$

Option 4: $\frac{24}{5}$


Team Careers360 13th Jan, 2024
Answer (1)
Team Careers360 16th Jan, 2024

Correct Answer: $\frac{16}{5}$


Solution : Time taken by 10 women to complete the work = 16 days
Time taken by 6 men to complete the work = 8 days
Number of men working initially = 12
Number of men who left after 2 days = 6
Number of women who joined after 2 days = 5
Now, 10 women × 16 = 6 men × 8
1 woman=$\frac{3}{10}$ man
Total work = 6 men × 8 days = 48 units (considering efficiency of 1 man is 1 unit)
Work done by 12 men in 2 days= 12 × 2 = 24 Units
Work left after 2 days = 48 − 24 = 24 units
Number of men equivalents left = (6 + 5 × $\frac{3}{10}$) men= $\frac{15}2$ men
So, $\frac{15}2$ men will do 24 units in = $\frac{48}{15} = \frac{16}5$ days
Hence, the correct answer is $\frac{16}5$.

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