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Time & Work Basics, Reciprocal & LCM Methods Video Lecture - CAT
FAQs on Time & Work: Basics, Reciprocal & LCM Methods
| 1. What is the basic concept of time and work? |  |
Ans. The basic concept of time and work involves calculating the amount of work done by a person or a group of people in a given amount of time. It also includes determining the time required to complete a certain task based on the efficiency of the workers.
| 2. How do you solve time and work problems using the reciprocal method? | |
Ans. The reciprocal method involves calculating the work done by each worker in one day and then taking the reciprocal of that value. By adding up the reciprocals of individual work rates, we can find the total time required to complete the task. Finally, we can determine the efficiency of each worker by dividing their individual work rate by the total work rate.
| 3. What is the LCM method in time and work problems? | |
Ans. The LCM (Least Common Multiple) method is used to find the time taken by multiple workers to complete a task when they have different work rates. In this method, we find the LCM of the individual work rates and divide it by each worker's work rate to determine the time taken.
| 4. How can I apply the reciprocal method to solve complex time and work problems? | |
Ans. To solve complex time and work problems using the reciprocal method, break down the problem into smaller parts. Determine the work rate of each worker for each part of the task and calculate their individual work rates. Then, add up the reciprocals of the work rates to find the total time required to complete the entire task.
| 5. Can you provide an example of solving a time and work problem using the LCM method? | |
Ans. Sure! Let's say worker A can complete a task in 12 days, worker B can complete it in 15 days, and worker C can complete it in 20 days. To find the time taken by all three workers working together, we find the LCM of 12, 15, and 20, which is 60. Then, we calculate the work rates of each worker by dividing 60 by their respective completion times: A's work rate is 5, B's work rate is 4, and C's work rate is 3. Therefore, it would take them 60/12 + 60/15 + 60/20 = 5 + 4 + 3 = 12 days to complete the task together.
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Apr 19, 2026 Last updated
Time & Work: Basics, Reciprocal & LCM Methods for CAT2026 is part of CAT preparation. The notes and questions for Time & Work: Basics, Reciprocal & LCM Methods have been prepared according to the CAT exam syllabus. Information about Time & Work: Basics, Reciprocal & LCM Methods covers all important topics for CAT2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Time & Work: Basics, Reciprocal & LCM Methods.
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