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 $
BETA
