Quantitative Aptitude Ques 2114

Question: A can do a certain work is 12 days. B is 60% more efficient than A. How many days will B and A together take to do same job?

Options:

A) $ \frac{80}{13} $

B) $ \frac{70}{13} $

C) $ \frac{75}{13} $

D) $ \frac{60}{13} $

Show Answer

Answer:

Correct Answer: D

Solution:

  • In such questions, we have to calculate the number of days of each worker. In this question, The efficiency of B is 60% more than, A and time taken by A is 12 days. Now, we find the number of days of B’s work, By the formula, Time $ =\frac{100}{100+x}\times $ Total days taken by A where, $ x= $ efficiency percentage

$ \therefore $ Time taken by $ B=\frac{100}{160}\times 12=\frac{15}{2}days $

$ \therefore $ (A + B)’s 1 day work $ =\frac{1}{2}+\frac{2}{15}=\frac{5+8}{60}=\frac{13}{60} $ Hence, the work will be completed in $ \frac{60}{13} $ days.