Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages

Question

Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

Options:

A . 7 hours 30 minutes

B . 8 hours

C . 8 hours 15 minutes

D . 8 hours 25 minutes

Answer: Option C

Number of pages typed by Ravi in 1 hour = \(\frac{32}{6}=\frac{16}{3}\)

Number of pages typed by Kumar in 1 hour = \(\frac{40}{5}=8\)

Number of pages typed by both in 1 hour = \(\left(\frac{16}{3}+8\right)= \frac{40}{3}\)

So, Time taken by both to type 110 pages = \(\left(110\times\frac{3}{40}\right) hours\)

= \(8\frac{1}{4}\) hours (or) 8 hours 15 minutes

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