Time and work -Time and work in mathematics

👉 Time and work👈

Aspirants who will be taking competitive examinations for the first time or who have been preparing for the exams for some time should be aware that each subject has to receive enough time so that the concepts and fundamentals are understood. You will be better able to handle the challenging competition for each exam.We explain the concepts of time and work in this post, along with formulas that will make it easier for you to respond to inquiries. Additionally, we have a few sample time and work problems with solutions farther down in the post for your reference.

The following links will help interested candidates improve their preparation for the quantitative aptitude test.

One thing to keep in mind is that every task required a specific amount of time.

Efficiency multiply time taken equals work completed.

It means

Work completed= efficiency  x  time taken.

Basic formula for work and time:-

Rule 1: Start with days:

If a person can do a task in n days (or hours), then the task takes that individual 1/n days (or hours).

Rule 2: Days from work:

If a person's work in 1 day (or hour) equals 1/n, they will finish the task in n days (hours).

Rule - 3

If one individual is n times more productive than another, then the work done by:

First-person work to second-person work ratio is n: 1.

Ratio of times taken by First person and second person to finish a work = 1 : n.

Rule - 4

If ratio of numbers of men required to complete a work is m : n, then the ratio of time taken by them will be n : m.

Example of time and work:-

1. A can complete a task in 15 days while B needs 20. The amount of work remaining after four days of collaborative effort is:

Ans:-8/15.

2. While B can complete the same task in 12 days, A can lay railroad track between two given stations in 16 days. They completed the task in just 4 days with C's assistance. C alone can then complete the task in:

Ans:-48/5.

3. In 20, 30, and 60 days, respectively, A, B, and C can complete a task. If B and C help A every third day, how many days would it take him to complete the task?

Ans:-15 days.

4.A is thrice as economical as B and is, therefore, able to end a chunk of labor ten days prior to B. In what number days A and B can end it together?

Answer: . 5 days

Explanation: WC = 3:1

WT = 1:3

x ------- 3x

1/x – 1/3x = 1/10

x = 20/3

3/20 + 1/20 = 1/5 => five days

5.A work that may well be finished in nine days was finished three days earlier once ten additional men joined. the amount of men utilized was?s

Answer: .20 men