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If 20 people can complete 2/5th of a work in 6 days working 4 hours each day, then how much work will be completed by 30 people in 2 days working 8 hours each day?
  • a)
    1
  • b)
    4/5
  • c)
    3/5
  • d)
    2/5
Correct answer is option 'D'. Can you explain this answer?
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If 20 people can complete 2/5th of a work in 6 days working 4 hours ea...
Given:
20 people can complete 2/5th of a work in 6 days working 4 hours each day.

To find:
How much work will be completed by 30 people in 2 days working 8 hours each day?

Solution:
Let's first find the total work to be done.
20 people complete 2/5th of the work in 6 days.
Therefore, the work done by one person in one day = (2/5) / (20*6/4) = 1/30
So, the total work to be done = 1 / (1/30) = 30

Now, let's find the work done by 30 people in 2 days working 8 hours each day.
Work done by one person in one hour = 1 / (30*4*6) = 1 / 720
Work done by one person in 8 hours = 8/720 = 1/90
Work done by 30 people in 2 days = (30 * 1/90 * 8 * 2) = 2/5

Therefore, the work completed by 30 people in 2 days working 8 hours each day is 2/5th of the total work.

Hence, the correct answer is option D, i.e., 2/5.
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If 20 people can complete 2/5th of a work in 6 days working 4 hours each day, then how much work will be completed by 30 people in 2 days working 8 hours each day?a)1b)4/5c)3/5d)2/5Correct answer is option 'D'. Can you explain this answer?
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