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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
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Ravi and Kumar are working on an assignment. Ravi takes 6 hours to typ...
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.
Therefore Time taken by both to type 110 pages = (110*3/40) hours
= 8 hours 15 minutes.
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Most Upvoted Answer
Ravi and Kumar are working on an assignment. Ravi takes 6 hours to typ...
Kumar can type 48 pages in 6 hours
So in total they can type 80 pages in 6 hrs ,viz, 360 min
Hence , 110 pages will be typed in 360*110/80 = 495 min
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Community Answer
Ravi and Kumar are working on an assignment. Ravi takes 6 hours to typ...
Given:
Ravi takes 6 hours to type 32 pages
Kumar takes 5 hours to type 40 pages
They have to type an assignment of 110 pages

To find:
How much time will they take, working together on two different computers to type an assignment of 110 pages?

Solution:
We can use the formula:
Time taken = Total work / Work done in 1 hour

Let's first calculate the work done by Ravi in 1 hour:
Ravi's typing speed = 32/6 = 16/3 pages per hour
Similarly, Kumar's typing speed = 40/5 = 8 pages per hour

Now, let's calculate the work done by both of them together in 1 hour:
Work done by Ravi and Kumar in 1 hour = 16/3 + 8 = 40/3 pages per hour

Using the formula, we can find the time taken by both of them together to type 110 pages:
Time taken = Total work / Work done in 1 hour
Total work = 110 pages
Work done in 1 hour = 40/3 pages

Time taken = 110 / (40/3)
Time taken = 8.25 hours or 8 hours and 15 minutes

Therefore, they will take 8 hours and 15 minutes to type an assignment of 110 pages working together on two different computers. Hence, option C is the correct answer.
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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 minutesb)8 hoursc)8 hours 15 minutesd)8 hours 25 minutesCorrect answer is option 'C'. Can you explain this answer?
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