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A and B can do a job in 72 days, B and C do the job in 120 days and A and C 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 do the job in 120 days and A ...
Given information:
- A and B can do a 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 solve the problem step by step:
Finding the individual efficiencies of A, B, and C:
Let the efficiency of A be x, B be y, and C be z.
From the given information:
1/x + 1/y = 1/72
1/y + 1/z = 1/120
1/x + 1/z = 1/90
Solving the above equations simultaneously, we get:
x = 1/180, y = 1/120, z = 1/360
Finding the total efficiency when all three work together:
Total efficiency when A, B, and C work together = x + y + z
Total efficiency = 1/180 + 1/120 + 1/360
Total efficiency = 1/72
Calculating the total number of days required to complete the job:
Total days required = 1/Total efficiency
Total days required = 1/(1/72)
Total days required = 72 days
Therefore, all three A, B, and C together will take 72 days to complete the job.
- A and B can do a 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 solve the problem step by step:
Finding the individual efficiencies of A, B, and C:
Let the efficiency of A be x, B be y, and C be z.
From the given information:
1/x + 1/y = 1/72
1/y + 1/z = 1/120
1/x + 1/z = 1/90
Solving the above equations simultaneously, we get:
x = 1/180, y = 1/120, z = 1/360
Finding the total efficiency when all three work together:
Total efficiency when A, B, and C work together = x + y + z
Total efficiency = 1/180 + 1/120 + 1/360
Total efficiency = 1/72
Calculating the total number of days required to complete the job:
Total days required = 1/Total efficiency
Total days required = 1/(1/72)
Total days required = 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 do the job in 120 days and A and C can do the same job in 90 days. In how many days all the three takes to complete the job?
Question Description
A and B can do a job in 72 days, B and C do the job in 120 days and A and C 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 do the job in 120 days and A and C 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 do the job in 120 days and A and C 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 do the job in 120 days and A and C 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 do the job in 120 days and A and C 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 do the job in 120 days and A and C can do the same job in 90 days. In how many days all the three takes to complete the job?.
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