5 Views

Question : A and B together can complete a project in 10 days. They started together, but A left after 2 days and the remaining work was completed by B in 12 days. In how many days can A complete the entire work while working alone?

Option 1: 15 days

Option 2: 20 days

Option 3: 30 days

Option 4: 45 days


Team Careers360 4th Jan, 2024
Answer (1)
Team Careers360 12th Jan, 2024

Correct Answer: 30 days


Solution : Given: A and B together can complete a project in 10 days.
Let the efficiency of A is $x$ and B is $y$ respectively.
Total work = Efficiency × Time
Total work is $(x+y)×10 = 10(x+y)$
They started together, but A left after 2 days and the remaining work was completed by B in 12 days.
$(x+y)×2 + y×12 = 10(x+y)$
⇒ $2x+2y+12y = 10x+10y$
⇒ $8x = 4y$
⇒ $\frac{x}{y} = \frac{4}{8} = \frac{1}{2}$
Then, the efficiency of A is 1 unit and the efficiency of B is 2 units.
Total work is $10(x+y) = 10(1+2) = 30$ units
Time taken by A to complete the whole work is $\frac{30}{1}$ = 30 days
Hence, the correct answer is 30 days.

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