Practice Test Discussion

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

12 hours

9 hours

13 hours

10 hours

None of these

Explanation

According to the question,

Number of pages copied by Subhash in 10 hours is 50

Number of pages copied in 1 hour by Subhash

$= \frac{50}{10} = 5$ pages

Subhash and Prakash together can copy $= \frac{300}{40} = \frac{15}{2}$ pages

Let time taken by prakash to copy 30 pages = x hours

∴ Number of pages copied by prakash in 1 hour $= \frac{30}{x}$

$= \frac{30}{x} + 5 = \frac{15}{2} = \frac{30}{x} = \frac{15}{2} - 5 = \frac{5}{2} = \frac{30}{x} = \frac{5}{2} x = \frac{2 \times 30}{5} = 12 h o u r s$

Hence option A is the correct.

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