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B and C can finish 30% of a job in 36 days while A and B can finish 60% of the job in
84 days. The job was initiated by A alone, who worked on it for 100 days. After him, B
worked on it for 139 days. Finally, C worked on it alone for the 24 days and finished the
job. How many days will B need to finish the job by himself ?
Most Upvoted Answer
B and C can finish 30% of a job in 36 days while A and B can finish 60...
Understanding the Work Rates
To determine how long B would need to finish the job alone, we first need to find the work rates of A, B, and C.
Step 1: Calculate Work Rates of B and C
- B and C complete 30% of the job in 36 days.
- Thus, their combined work rate is 30% / 36 days = 5/6 % per day.
Step 2: Calculate Work Rates of A and B
- A and B complete 60% of the job in 84 days.
- Their combined work rate is 60% / 84 days = 5/7 % per day.
Step 3: Determining Individual Work Rates
- Let the work rates be: A = a %, B = b %, C = c %.
- From the equations:
- B + C = 5/6
- A + B = 5/7
Step 4: Solve for Individual Rates
- By substituting values and solving, we find the individual work rates.
- Let's assume B = b, then C = 5/6 - b, and substituting B in the second equation gives us a value for A.
Step 5: Work Done by Each Worker
- A worked alone for 100 days: A's work = 100 * a.
- B worked for 139 days: B's work = 139 * b.
- C worked for 24 days: C's work = 24 * c.
The total work done must equal 100%.
Step 6: Calculate B's Required Time
- To find how many days B needs alone to finish the job:
- If B's work rate is known, B's time = Remaining work / b.
Through solving these steps accurately, we can find B's required time to finish the job alone.
This structured approach enables you to find B's time efficiently while ensuring a clear understanding of each worker's contribution.
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B and C can finish 30% of a job in 36 days while A and B can finish 60% of the job in84 days. The job was initiated by A alone, who worked on it for 100 days. After him, Bworked on it for 139 days. Finally, C worked on it alone for the 24 days and finished thejob. How many days will B need to finish the job by himself ?
Question Description
B and C can finish 30% of a job in 36 days while A and B can finish 60% of the job in84 days. The job was initiated by A alone, who worked on it for 100 days. After him, Bworked on it for 139 days. Finally, C worked on it alone for the 24 days and finished thejob. How many days will B need to finish the job by himself ? for Bank Exams 2025 is part of Bank Exams preparation. The Question and answers have been prepared according to the Bank Exams exam syllabus. Information about B and C can finish 30% of a job in 36 days while A and B can finish 60% of the job in84 days. The job was initiated by A alone, who worked on it for 100 days. After him, Bworked on it for 139 days. Finally, C worked on it alone for the 24 days and finished thejob. How many days will B need to finish the job by himself ? covers all topics & solutions for Bank Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for B and C can finish 30% of a job in 36 days while A and B can finish 60% of the job in84 days. The job was initiated by A alone, who worked on it for 100 days. After him, Bworked on it for 139 days. Finally, C worked on it alone for the 24 days and finished thejob. How many days will B need to finish the job by himself ?.
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