4 Views

Question : A can do a piece of work alone in 15 days, while B complete the same piece of work alone in 12 days. If they work on it together for 5 days, then the fraction of the work that will be left is:

Option 1: $\frac{3}{4}$

Option 2: $\frac{5}{8}$

Option 3: $\frac{1}{4}$

Option 4: $\frac{5}{7}$


Team Careers360 13th Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

Correct Answer: $\frac{1}{4}$


Solution : Given,
A can do a piece of work = 15 days
B can do a piece of work = 12 days
A and B both work together = 5 days
Left work = total work – completed work
Let, Total Work = LCM of 15, 12 and 5 = 60
Total efficiency of A and B = $\frac{60}{15}+\frac{60}{12}$ = 4 + 5 = 9
Both A and B together work for 5 days
So, work completed in 5 days by A and B = 9 × 5 = 45
⇒ Remaining work = 60 – 45 = 15
⇒ The fraction of work left = $\frac{15}{60}$ = $\frac{1}{4}$
Hence, the correct answer is $\frac14$.

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