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If A completes 25% of x work in 15 days while B completes remaining 75% of work in 30 days, how many days would have been required for both A and B to complete 100% of x work by working together ?
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If A completes 25% of x work in 15 days while B completes remaining 75...
Calculation of Work Efficiency
- Let's assume the total work to be done is x units.
- A completes 25% of x work in 15 days, so A's work efficiency is 25% / 15 = 1.67% per day.
- B completes the remaining 75% of work in 30 days, so B's work efficiency is 75% / 30 = 2.5% per day.
Calculation of Combined Efficiency
- When A and B work together, their combined efficiency is the sum of their individual efficiencies.
- Therefore, the combined efficiency of A and B working together is 1.67% + 2.5% = 4.17% per day.
Calculation of Time Required
- To calculate the time required for both A and B to complete 100% of the work, we divide the total work (100%) by their combined efficiency (4.17% per day).
- So, the total number of days required for A and B to complete 100% of the work together is 100% / 4.17% = 24 days.
Therefore, it would have taken A and B together 24 days to complete 100% of the work if they had worked together from the beginning.
- Let's assume the total work to be done is x units.
- A completes 25% of x work in 15 days, so A's work efficiency is 25% / 15 = 1.67% per day.
- B completes the remaining 75% of work in 30 days, so B's work efficiency is 75% / 30 = 2.5% per day.
Calculation of Combined Efficiency
- When A and B work together, their combined efficiency is the sum of their individual efficiencies.
- Therefore, the combined efficiency of A and B working together is 1.67% + 2.5% = 4.17% per day.
Calculation of Time Required
- To calculate the time required for both A and B to complete 100% of the work, we divide the total work (100%) by their combined efficiency (4.17% per day).
- So, the total number of days required for A and B to complete 100% of the work together is 100% / 4.17% = 24 days.
Therefore, it would have taken A and B together 24 days to complete 100% of the work if they had worked together from the beginning.
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If A completes 25% of x work in 15 days while B completes remaining 75% of work in 30 days, how many days would have been required for both A and B to complete 100% of x work by working together ?
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If A completes 25% of x work in 15 days while B completes remaining 75% of work in 30 days, how many days would have been required for both A and B to complete 100% of x work by working together ? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If A completes 25% of x work in 15 days while B completes remaining 75% of work in 30 days, how many days would have been required for both A and B to complete 100% of x work by working together ? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A completes 25% of x work in 15 days while B completes remaining 75% of work in 30 days, how many days would have been required for both A and B to complete 100% of x work by working together ?.
If A completes 25% of x work in 15 days while B completes remaining 75% of work in 30 days, how many days would have been required for both A and B to complete 100% of x work by working together ? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If A completes 25% of x work in 15 days while B completes remaining 75% of work in 30 days, how many days would have been required for both A and B to complete 100% of x work by working together ? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A completes 25% of x work in 15 days while B completes remaining 75% of work in 30 days, how many days would have been required for both A and B to complete 100% of x work by working together ?.
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