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Reciprocals & LCM Method: Time & Work Video Lecture | CSAT Preparation - UPSC

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FAQs on Reciprocals & LCM Method: Time & Work Video Lecture - CSAT Preparation - UPSC

1. What is the LCM method in time and work problems?
Ans. The LCM method is a mathematical technique used to solve problems related to time and work. In this method, we find the least common multiple (LCM) of the given numbers, which represents the total work done. We then divide the total work by the individual work rate of each person to find the time taken to complete the work.
2. How do we use reciprocals in time and work problems?
Ans. In time and work problems, we use reciprocals to represent the work rate of each person. For example, if a person can complete a task in 5 days, their work rate would be 1/5. Similarly, if another person can complete the same task in 10 days, their work rate would be 1/10. We can then add up the reciprocals of the work rates to find the combined work rate of all the people involved in the task.
3. How can we apply the LCM method and reciprocals in time and work problems?
Ans. To solve time and work problems using the LCM method and reciprocals, we first find the work rate of each person involved in the task. We then add up the reciprocals of their work rates to find the combined work rate. Next, we find the LCM of the given numbers, which represents the total work done. We divide the total work by the combined work rate to find the time taken to complete the task.
4. Can the LCM method and reciprocals be used for complex time and work problems?
Ans. Yes, the LCM method and reciprocals can be used for complex time and work problems. However, it is important to understand the concept of work rate and practice solving simpler problems before attempting complex ones. It is also important to pay attention to the units of time and work when solving problems involving multiple people or tasks.
5. Are there any other methods to solve time and work problems besides the LCM method?
Ans. Yes, there are other methods to solve time and work problems, such as the unitary method and the chain rule. The unitary method involves finding the work rate of one person and then using proportions to find the time taken to complete the task. The chain rule involves breaking down a complex task into smaller tasks and finding the time taken to complete each task before combining them to find the total time taken.
207 videos|156 docs|192 tests

Timeline

00:00 Type of Question
00:21 Method 1
00:36 Method 2
01:47 Example
03:11 Question 1
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