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A and b can do a job in 72 days, b and c cab do the job in 120 days and ac can do the same job in 90 days. In how many days. All the three takes to complete the job?
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A and b can do a job in 72 days, b and c cab do the job in 120 days an...
Analysis of the Problem:
Given:
- A and B can do the job in 72 days
- B and C can do the job in 120 days
- A and C can do the job in 90 days
Let's assume:
- Let the efficiency of A be a, B be b, and C be c
- Total work = 1
Calculating the Efficiency:
- From the given data, we can write the equations:
- (a + b) * 72 = 1
- (b + c) * 120 = 1
- (a + c) * 90 = 1
- Solving the above equations, we get:
- a = 1/180
- b = 1/120
- c = 1/360
Finding the Time Taken by all Three:
- Let the time taken by all three working together be x days
- Their combined efficiency = a + b + c = 1/180 + 1/120 + 1/360 = 1/72
- Total work = 1
- Total work done by all three in x days = x * (1/72) = 1
Solving for x:
x * (1/72) = 1
x = 72 days
Therefore, all three A, B, and C together will take 72 days to complete the job.
Given:
- A and B can do the job in 72 days
- B and C can do the job in 120 days
- A and C can do the job in 90 days
Let's assume:
- Let the efficiency of A be a, B be b, and C be c
- Total work = 1
Calculating the Efficiency:
- From the given data, we can write the equations:
- (a + b) * 72 = 1
- (b + c) * 120 = 1
- (a + c) * 90 = 1
- Solving the above equations, we get:
- a = 1/180
- b = 1/120
- c = 1/360
Finding the Time Taken by all Three:
- Let the time taken by all three working together be x days
- Their combined efficiency = a + b + c = 1/180 + 1/120 + 1/360 = 1/72
- Total work = 1
- Total work done by all three in x days = x * (1/72) = 1
Solving for x:
x * (1/72) = 1
x = 72 days
Therefore, all three A, B, and C together will take 72 days to complete the job.
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A and b can do a job in 72 days, b and c cab do the job in 120 days and ac can do the same job in 90 days. In how many days. All the three takes to complete the job?
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A and b can do a job in 72 days, b and c cab do the job in 120 days and ac can do the same job in 90 days. In how many days. All the three takes to complete the job? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A and b can do a job in 72 days, b and c cab do the job in 120 days and ac can do the same job in 90 days. In how many days. All the three takes to complete the job? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and b can do a job in 72 days, b and c cab do the job in 120 days and ac can do the same job in 90 days. In how many days. All the three takes to complete the job?.
A and b can do a job in 72 days, b and c cab do the job in 120 days and ac can do the same job in 90 days. In how many days. All the three takes to complete the job? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A and b can do a job in 72 days, b and c cab do the job in 120 days and ac can do the same job in 90 days. In how many days. All the three takes to complete the job? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and b can do a job in 72 days, b and c cab do the job in 120 days and ac can do the same job in 90 days. In how many days. All the three takes to complete the job?.
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