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

• 7 hours 30 minutes

• 8 hours

• 8 hours 15 minutes

• 8 hours 25 minutes

Answer 1

8 hours 15 minutes

Explanation:

Number of pages typed by Ravi in 1 hour = `32/6 = 16/3`

Number of pages typed by Kumar in 1 hour = `40/5` = 8

Number of pages typed by both in 1 hour = `(16/3 + 8) = 40/3`

∴ Time taken by both to type 110 pages = `(110 xx 3/40)` hours

= `8 1/4` hours (or) 8 hours 15 minutes.