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Time & Work : LCM Method & Practice Questions Video Lecture | CAT Made Easy - Video Lectures by Nishant Sir | IIM K

FAQs on Time & Work : LCM Method & Practice Questions Video Lecture - CAT Made Easy - Video Lectures by Nishant Sir - IIM K

1. What is the LCM method in solving time and work problems?
Ans. The LCM (Least Common Multiple) method is a technique used to solve time and work problems by finding a common time frame for different workers or machines. This method helps in calculating how long it would take for multiple entities to complete a task together. By determining the LCM of the time taken by each worker to finish a task individually, one can easily find the combined work rate and the total time taken when they all work together.
2. How do you apply the LCM method to find the time taken by multiple workers to complete a task?
Ans. To apply the LCM method, first determine the individual work rates of each worker. For example, if Worker A can complete a task in 4 days and Worker B in 6 days, their work rates would be 1/4 and 1/6, respectively. Next, find the LCM of their time periods (4 and 6), which is 12. This means they can be considered to work together for 12 days. Calculate how much work they complete in that time, and then use this to find out how long it would take them to finish the task together.
3. What are some common pitfalls when using the LCM method in time and work problems?
Ans. Common pitfalls include forgetting to convert individual work rates to a consistent unit, miscalculating the LCM, and not considering the total work done by each worker within the common time frame. Additionally, some may overlook scenarios where workers may not work simultaneously or have different work efficiencies, leading to incorrect conclusions about the total time required for task completion.
4. Can the LCM method be used for problems involving more than two workers?
Ans. Yes, the LCM method can be applied to problems involving any number of workers. The process remains the same: calculate the individual work rates, find the LCM of their time periods, and then determine the total work done in that common time. This method remains effective regardless of how many workers are involved, as long as their work rates are accurately determined.
5. How does the LCM method simplify complex time and work problems?
Ans. The LCM method simplifies complex time and work problems by allowing for a clear and structured approach to combine different work rates. It eliminates the need for tedious calculations with fractions and allows for a straightforward way to visualize how multiple workers contribute to a single task. By working with a common multiple, it becomes easier to add their contributions together and arrive at a solution efficiently.
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