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If 36 Men Can Do a Piece of Work in 25 Hours, in How Many Hours will 15 Men Do It?

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Explanation

  • If 36 men can do a piece of work in 25 hours.
  • Time required by the 15 men can be figure out in this way.

Two given entities here are

  1. Men
  2. Time
  • Time increases as the men decreases.
  • Time decreases as the men increases.

This clearly indicates that there is inverse relation.

Direct/Indirect relation tells how the equation will be written.

36/15 = y/25

This equation gives the time required by the 15 men (60 hours).

To Find

Time required by the 15 men = ?

Solution

Method I

Let suppose time required by the 15 men = y

Men                               Time

36                                  25 hrs

15                                  y

As, there is inverse relation so;

36/15 = y/25

36 x 25 = 15 x y

900 = 15y

y = 900/15

y = 60

Time required by the 15 men to get the job done = 60 hours answer

Method II

36 men can do a piece of work = 25 hours

1 man can do a piece of work = 25 x 36 hours

1 man can do a piece of work = 900 hours

15 men can do a piece of work = 900/15 hours

15 men can do a piece of work = 60 hours

Time required by the 15 men to get the job done = 60 hours answer

Conclusion

If 36 men can do a piece of work in 25 hours, 15 men will take 60 hours to get the job done.

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