Are you preparing for competitive exams? If yes, then you must check this article to know Time & Work shortcuts and Tricks. Understand Time and Work Quantitative Aptitude Questions and Formula. Check shortcuts mentioned here and practice them accurately to solve those questions in a limited time.
Solving aptitude questions in a limited time is really a great blessing for the candidates preparing for competitive exams. It can only be possible through regular practice. We are providing a few solved example questions, easy steps, and shortcuts to prepare for the exam. Aptitude is actually easy and interesting if you know shortcuts and steps to solve the problem. You have to follow a few tips and tricks to solve Time and Work Questions.
This section of aptitude is tricky when compared with other sections and you need to practice more. Also, make your basics strong so that you can solve many problems in less time. Time problems deal with the efficiency of an individual or group or the time taken to complete the work in time. Work is the effort put in to accomplish the task or produce a deliverable.
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There are various approaches to solve efficiency and work problems. We are going to discuss those approaches with you here. Before starting the practice know all the approaches and formulae and be perfect in that.
To make calculations more instinctive, the job can be supposed as chocolates to be consumed instead of units of work to be finished. We consider the LCM of all the “total no of days” given in the question. This is done with the goal that the work will be multiple of “number of days” and hence calculating efficiency will be simpler.
Example:
Question: If X can do work in 9 days and Y can do the same work in 18 days, in how many days can they finish it working together?
Solution:
With the above-mentioned chocolate method, you can solve this in the following steps.
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In the event that X can finish the work in ‘a’ days and Y can finish a similar work in ‘b’ days, when they cooperate, the time taken to finish the work is given as following.
X can finish the work in ‘a’ days. So in one day, he will do 1/a of the work. Y can finish the work in ‘b’ days. So in one day, he will do 1/b of the work. Complete work done by both in one day = (1/a) + (1/b). Thus, the total time needed to fulfill the work = (ab)/(a +b) days.
Question: If X finishes the entire work in 10 days, Y finishes the work in 12 days. In how many days can X, Y day finish the work when worked together?
Solution: 60/11 days
In this method, we expect the total sum of work to be finished as a finite divisible and dependent on it, we continue with the calculation. To make the calculation easier, suppose the total sum of work to be finished as the LCM of time taken by various people to finish a similar work.
In the event that X can finish the work in ‘a’ days and Y can finish a similar work in ‘b’ days when they cooperate, the time taken to finish the work is given as following.
Question: If X finishes the entire work in 10 days, Y finishes the work in 12 days. In how many days can X, Y day finish the work when worked together?
Solution:
Let the amount of piece of work be 60 units (LCM of 10 and 12). Since X works 60 units in 10 days, so he works 6 units every day. Since Y works 60 units in 12 days, he works 5 units every day. Working together, they do 6 + 5 = 11 units each day. Hence to complete 60 units of work, both together will take 60/11 days.
In the man-days concept questions, we assume that all men work with the same efficiency unless it is given in the question. The relationship between the number of people working(N), the total number of hours worked per day(H), the total number of days worked(D) and quantity of work done(W) for different cases is as follows:
N(1) x D(1) x H(1)/W(1) = N(2) x D(2) x H(2)/W(2)
For the above equations, the relationship between variables is as follows:
We hope that now you got the complete idea of Time and Work. Follow all the strategies and tricks mentioned above to improve your problem-solving skills. If you need any further clarification, you can ask us through the contact us page or in the comment box mentioned below. Bookmark our site to get all instant and latest updates.
Time and Work problems involve calculating the time required for a person, machine, or group to complete a task, given their individual work rates. The key is to understand how different workers contribute to the total work and how their combined efforts can be measured.
In problems where the work rate changes over time (e.g., a worker becoming faster or slower), break the problem into stages where the rate remains constant, and then calculate the work done at each stage before adding them up to get the total work.
In problems where the work rate changes over time (e.g., a worker becoming faster or slower), break the problem into stages where the rate remains constant, and then calculate the work done at each stage before adding them up to get the total work.