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If ‘x’ men can finish ‘x’ similar projects in ‘x’ days, then in how many days can ‘2x’ men can finish ‘2x’ similar projects? Assume that each man works with same efficiency.
  • a)
    x/2
  • b)
    x
  • c)
    3x/2
  • d)
    2x
  • e)
    5x/2
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
If ‘x’ men can finish ‘x’ similar projects in ...
Solution:
Given, x men can finish x similar projects in x days.
Let's assume that each man will take 1 day to complete one project. (The efficiency of each man is the same).
So, x men can complete x projects in x days.
Therefore, 1 man can complete 1 project in x days.
Now, we need to find the number of days taken by 2x men to complete 2x similar projects.
Let's solve this using the formula "Men, days and work done".
Men, days and work done:
In the case of Men, days and work done, the formula is given as:
Men1 × Days1 × Work1 = Men2 × Days2 × Work2
where,
Men1, Men2 are the number of men in the first and second cases respectively.
Days1, Days2 are the number of days taken in the first and second cases respectively.
Work1, Work2 are the amount of work done in the first and second cases respectively.
Using the above formula, we can solve the problem.
Let's assume that 2x men can complete 2x projects in y days.
So, we have,
x × x × x = 2x × y × 2x
x^2 = 4xy
y = x/4
Therefore, 2x men can complete 2x similar projects in x/4 days.
Hence, the correct option is (B) x.
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Community Answer
If ‘x’ men can finish ‘x’ similar projects in ...
If 1 man can finish 1 project in a day..
then simpally 2 man can finish 2 project in one day...
So your answer will be
(b) X
Ans : x days.
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If ‘x’ men can finish ‘x’ similar projects in ‘x’ days, then in how many days can ‘2x’ men can finish ‘2x’ similar projects? Assume that each man works with same efficiency.a)x/2b)xc)3x/2d)2xe)5x/2Correct answer is option 'B'. Can you explain this answer?
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