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1. 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?

A. 7 hours 30 minutes

B. 8 hours

C. 8 hours 15 minutes

D. 8 hours 25 minutes

Solution:

\begin{aligned} 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 \\ = \frac{16}{3} + 8 = \frac{40}{3} \\ ∴ Time taken by both to type 110 pages \\ = 110 \times \frac{3}{40} hours \\ = 8 \frac{1}{4} hours (or) 8 hours 15 minutes \end{aligned}

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