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Two machines X and Y. If there is a drop in the efficiency of X upto 1/3 its normal value, there is an equal reciprocal increase in Y's efficiency upto 3 times its efficiency. If X's efficiency drops to less than 1/3 its normal level, Y's efficiency drops to 1/2. If the two machines work at their normal working rates which are in the ratio 6:7, the work is completed in 10 days. What is the approximate minimum number of days in which, the machines can work together?
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Two machines X and Y. If there is a drop in the efficiency of X upto 1...


Approach:
- First, find the efficiencies of machines X and Y when they work at their normal working rates.
- Then, calculate the work done by X and Y in one day.
- Next, determine the time taken by X and Y to complete the work when their efficiencies are altered.
- Finally, find the minimum number of days in which the machines can work together.


Calculations:
- Let the normal efficiencies of machines X and Y be 6x and 7x, respectively.
- The work done by X and Y in one day = (6x + 7x) = 13x
- When X's efficiency drops to 1/3, its efficiency becomes 2x. Y's efficiency becomes 21x.
- Time taken by X and Y to complete the work = 10 * (6x + 7x) / (2x + 21x) = 10 * 13x / 23x = 5.65 days (approx)
- When X's efficiency drops below 1/3, its efficiency becomes less than 2x. Y's efficiency becomes less than 21x.
- The minimum number of days in which the machines can work together is approximately 6 days.
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Two machines X and Y. If there is a drop in the efficiency of X upto 1/3 its normal value, there is an equal reciprocal increase in Y's efficiency upto 3 times its efficiency. If X's efficiency drops to less than 1/3 its normal level, Y's efficiency drops to 1/2. If the two machines work at their normal working rates which are in the ratio 6:7, the work is completed in 10 days. What is the approximate minimum number of days in which, the machines can work together?
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Two machines X and Y. If there is a drop in the efficiency of X upto 1/3 its normal value, there is an equal reciprocal increase in Y's efficiency upto 3 times its efficiency. If X's efficiency drops to less than 1/3 its normal level, Y's efficiency drops to 1/2. If the two machines work at their normal working rates which are in the ratio 6:7, the work is completed in 10 days. What is the approximate minimum number of days in which, the machines can work together? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two machines X and Y. If there is a drop in the efficiency of X upto 1/3 its normal value, there is an equal reciprocal increase in Y's efficiency upto 3 times its efficiency. If X's efficiency drops to less than 1/3 its normal level, Y's efficiency drops to 1/2. If the two machines work at their normal working rates which are in the ratio 6:7, the work is completed in 10 days. What is the approximate minimum number of days in which, the machines can work together? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two machines X and Y. If there is a drop in the efficiency of X upto 1/3 its normal value, there is an equal reciprocal increase in Y's efficiency upto 3 times its efficiency. If X's efficiency drops to less than 1/3 its normal level, Y's efficiency drops to 1/2. If the two machines work at their normal working rates which are in the ratio 6:7, the work is completed in 10 days. What is the approximate minimum number of days in which, the machines can work together?.
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