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

• Solution

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.