Ronald and Elan are working on an assignment. Ronald takes 6 hours to type 32 pages on a computer, while Elan 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 ?

August 30, 2016 August 30, 2016

Ronald and Elan are working on an assignment. Ronald takes 6 hours to type 32 pages on a computer, while Elan 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

8 hours 15 minutes
Ronald’s 1 hour’s work $latex = \frac{32}{6}=\frac{16}{3}\ pages&s=1$
Pages typed in 6 hrs. = 32, Pages typed in 1 hr $latex = \frac{32}{6}&s=1$
Elan’s 1 hour’s work = 8 pages
1 hour’s work of the both $latex = \frac{16}{3}+8 = \frac{40}{3}\ pages&s=1$
∴ Required Time $latex = \frac{110\times 3}{40} = \frac{33}{4}\ hours = 8\ hours\ 15\ minutes&s=1$
Hence option [C] is correct answer.

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2 Comments

  1. Vipinjitbanga

    June 3, 2018 at 5:55 pm

    Please solve this by lcm method

  2. 8 hours 15 minutes

    June 15, 2023 at 11:01 am

    8.25 hours
    To find how much time they will take to type 110 pages together, we divide the total number of pages by their combined typing rate:

    Time = Number of pages / Combined typing rate
    Time = 110 pages / 13.33 pages per hour ≈ 8.25 hours

    The time it will take them to type 110 pages working together on two different computers is approximately 8 hours and 15 minutes.

    Therefore, the correct answer is [C] 8 hours 15 minutes

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