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A b and c can do a piece of work 10 ,20 and 25 days how much minimum time should be required to complete this work if more than two person cannot work in a day and in any two consecutive days same pair cannot work?
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A b and c can do a piece of work 10 ,20 and 25 days how much minimum t...
Understanding the Work Rates
To solve the problem, we first need to determine the work rates of A, B, and C.
- A can complete the work in 10 days, so A's work rate is 1/10 of the work per day.
- B can complete the work in 20 days, so B's work rate is 1/20 of the work per day.
- C can complete the work in 25 days, so C's work rate is 1/25 of the work per day.
Calculating Combined Work Rate
Next, we calculate how much work each pair can complete in a day:
- A and B together:
(1/10 + 1/20) = (2/20 + 1/20) = 3/20 of the work per day.
- A and C together:
(1/10 + 1/25) = (5/50 + 2/50) = 7/50 of the work per day.
- B and C together:
(1/20 + 1/25) = (5/100 + 4/100) = 9/100 of the work per day.
Work Schedule
To follow the rule of not having more than two people work on the same day and avoiding the same pair on consecutive days, we can create a work schedule using the pairs:
- Day 1: A and B (3/20 work done)
- Day 2: A and C (7/50 work done)
- Day 3: B and C (9/100 work done)
Calculating Work Done in 3 Days
Let’s calculate the total work done in three days:
- Work done on Day 1: 3/20
- Work done on Day 2: 7/50
- Work done on Day 3: 9/100
To find a common denominator, we can calculate the total work done over these three days and express it as a fraction of the whole work.
Conclusion
After calculating the total work done in three days, we can estimate how many cycles of this schedule will be needed to complete the entire work. Given the constraints and the calculated work rates, the minimum time required to complete the work will be determined based on the number of cycles needed to reach or exceed 1 whole unit of work. Each cycle takes three days, so we can derive the total days needed accordingly.
To solve the problem, we first need to determine the work rates of A, B, and C.
- A can complete the work in 10 days, so A's work rate is 1/10 of the work per day.
- B can complete the work in 20 days, so B's work rate is 1/20 of the work per day.
- C can complete the work in 25 days, so C's work rate is 1/25 of the work per day.
Calculating Combined Work Rate
Next, we calculate how much work each pair can complete in a day:
- A and B together:
(1/10 + 1/20) = (2/20 + 1/20) = 3/20 of the work per day.
- A and C together:
(1/10 + 1/25) = (5/50 + 2/50) = 7/50 of the work per day.
- B and C together:
(1/20 + 1/25) = (5/100 + 4/100) = 9/100 of the work per day.
Work Schedule
To follow the rule of not having more than two people work on the same day and avoiding the same pair on consecutive days, we can create a work schedule using the pairs:
- Day 1: A and B (3/20 work done)
- Day 2: A and C (7/50 work done)
- Day 3: B and C (9/100 work done)
Calculating Work Done in 3 Days
Let’s calculate the total work done in three days:
- Work done on Day 1: 3/20
- Work done on Day 2: 7/50
- Work done on Day 3: 9/100
To find a common denominator, we can calculate the total work done over these three days and express it as a fraction of the whole work.
Conclusion
After calculating the total work done in three days, we can estimate how many cycles of this schedule will be needed to complete the entire work. Given the constraints and the calculated work rates, the minimum time required to complete the work will be determined based on the number of cycles needed to reach or exceed 1 whole unit of work. Each cycle takes three days, so we can derive the total days needed accordingly.
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A b and c can do a piece of work 10 ,20 and 25 days how much minimum time should be required to complete this work if more than two person cannot work in a day and in any two consecutive days same pair cannot work?
Question Description
A b and c can do a piece of work 10 ,20 and 25 days how much minimum time should be required to complete this work if more than two person cannot work in a day and in any two consecutive days same pair cannot work? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A b and c can do a piece of work 10 ,20 and 25 days how much minimum time should be required to complete this work if more than two person cannot work in a day and in any two consecutive days same pair cannot work? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A b and c can do a piece of work 10 ,20 and 25 days how much minimum time should be required to complete this work if more than two person cannot work in a day and in any two consecutive days same pair cannot work?.
A b and c can do a piece of work 10 ,20 and 25 days how much minimum time should be required to complete this work if more than two person cannot work in a day and in any two consecutive days same pair cannot work? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A b and c can do a piece of work 10 ,20 and 25 days how much minimum time should be required to complete this work if more than two person cannot work in a day and in any two consecutive days same pair cannot work? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A b and c can do a piece of work 10 ,20 and 25 days how much minimum time should be required to complete this work if more than two person cannot work in a day and in any two consecutive days same pair cannot work?.
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