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A Man Completes 5/8 of a Job in 10 Days. At This Rate, How Many More Days will It Take Him to Finish the Job?

  • A man completes 5/8 of a job in 10 days.
  • At this rate the more days required to finish the job can be figure out in this way.

Explanation

Two given entities here are

  1. Job
  2. Days

To determine the relation here, let suppose; the days required to finish the job = y

Case

As we know that;

Job             Days

5/8              10

1                 y

  • Work load depends directly on days.
  • Days increases as the work load of job increased.

This clearly indicates that there is direct relation.

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

5/8 : 1  ::  10 : y ________ (A)

After simplifying equation (A), we can easily figure out the value of y (y = 16)

To Find

More days required to finish the job = y

Solution

Method I

Let suppose

The days required to finish the job = y

Job             Days

5/8              10

1                 y

Relation between job and days is direct, so;

5/8 : 1 :: 10 : y

(5 x y)/8 = 1 x  10

5y/8 = 10

5y = 10 x 8

5y = 80

y = 80/5

y = 16 days

Days required to finish the job = 16 days

More days required to finish the same job = 16 – 10 = 6 days answer

Method II

A man completes 5/8 of a job = 10 days

Man completes 1/1 of a job = 10 x 8/5

Man completes 1/1 of a job = 16 days

More days required to finish the same job = 16 – 10 = 6 days answer

Conclusion

A man completes 5/8 of a job in 10 days. At this rate 6 more days will be required to finish the job.

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