SATHEE: Quantitative Aptitude Ques 60

Quantitative Aptitude Ques 60

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:

Number of pages copied by Subhash in $ 1,h,=\frac{50}{10}=5 $ Number of pages copied by Subhash and Prakash in $ 1,h,=\frac{300}{40}=\frac{15}{2} $ Let time taken by Prakash to copy 30 pages = x h

$ \therefore $ Number of pages copied by Prakash in $ 1,h=\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 30}{5} $

$ \therefore $ $ x=12,h $

Quantitative Aptitude Ques 59

Quantitative Aptitude Ques 61

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