Quantitative Aptitude Ques 2057

Question: Subhash can copy 50 pages in 10 h, Subhash and Prakash can copy 300 pages in 40 h. In how much time can Prakash copy 30 pages?

Options:

A) 12 h

B) 9 h

C) 13 h

D) 10 h

Show Answer

Answer:

Correct Answer: A

Solution:

  • Given, number of pages copied by Subhash in 10 h = 50

$ \therefore $ Number of pages copied by Subhash in one hour $ =\frac{50}{10}=5 $ pages Now, number of pages copied by Subhash and Prakash in one hour $ =\frac{300}{40}=\frac{15}{2}pages $ Let time taken by Prakash to copied 30 pages = x h

$ \therefore $ Number of pages copied by Prakash in one hour $ =\frac{30}{x} $ Now, according to the question, $ \frac{30}{x}+5=\frac{15}{2} $

$ \Rightarrow $ $ \frac{30}{x}=\frac{15}{2}-5=\frac{5}{2} $

$ \Rightarrow $ $ \frac{30}{x}=\frac{5}{2} $

$ \Rightarrow $ $ x=\frac{2\times 50}{5} $

$ \therefore $ $ x=12h $