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A alone can finish a piece of work in 12 days and B alone can do it in 18 days. If they work together and finish it, then out of total wages of Rs. 50, A will get
- a)Rs. 12
- b)Rs. 30
- c)Rs. 40
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A alone can finish a piece of work in 12 days and B alone can do it in...
A can finish the work in 12 days.
B can finish the work in 18 days.
∴ Ratio of their one-day work = 1/12 : 1/18 = 3 : 2
∴ If they work together and finish the work, they get the assigned amount in the ratio 3 : 2. That is, A will get Rs. 30 and B will get Rs. 20 (∵ total amount = Rs. 50).
B can finish the work in 18 days.
∴ Ratio of their one-day work = 1/12 : 1/18 = 3 : 2
∴ If they work together and finish the work, they get the assigned amount in the ratio 3 : 2. That is, A will get Rs. 30 and B will get Rs. 20 (∵ total amount = Rs. 50).
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Community Answer
A alone can finish a piece of work in 12 days and B alone can do it in...
To solve this problem, we need to find the individual rates at which A and B work and then use those rates to determine the portion of the work completed by each person. Based on that, we can calculate their respective wages.
Given:
- A can finish the work in 12 days
- B can finish the work in 18 days
Let's start by calculating their individual work rates.
Calculating Work Rates:
- A's work rate = 1/12 (as A can finish the work in 12 days)
- B's work rate = 1/18 (as B can finish the work in 18 days)
Now, let's determine their combined work rate when they work together.
Calculating Combined Work Rate:
- Combined work rate = A's work rate + B's work rate
= 1/12 + 1/18
= 5/36
This means that when A and B work together, their combined work rate is 5/36 of the total work per day.
Calculating Portion of Work Completed:
Now, let's determine the portion of the work completed by each person when they work together.
- A's portion of work completed = A's work rate / Combined work rate
= (1/12) / (5/36)
= 3/5
- B's portion of work completed = B's work rate / Combined work rate
= (1/18) / (5/36)
= 2/5
This means that when A and B work together, A completes 3/5 of the work and B completes 2/5 of the work.
Calculating Wages:
Next, we can calculate their respective wages based on the portion of work completed.
- A's wages = (A's portion of work completed) * (Total wages)
= (3/5) * Rs. 50
= Rs. 30
- B's wages = (B's portion of work completed) * (Total wages)
= (2/5) * Rs. 50
= Rs. 20
Therefore, A will get Rs. 30 out of the total wages of Rs. 50.
Hence, the correct answer is option 'B' (Rs. 30).
Given:
- A can finish the work in 12 days
- B can finish the work in 18 days
Let's start by calculating their individual work rates.
Calculating Work Rates:
- A's work rate = 1/12 (as A can finish the work in 12 days)
- B's work rate = 1/18 (as B can finish the work in 18 days)
Now, let's determine their combined work rate when they work together.
Calculating Combined Work Rate:
- Combined work rate = A's work rate + B's work rate
= 1/12 + 1/18
= 5/36
This means that when A and B work together, their combined work rate is 5/36 of the total work per day.
Calculating Portion of Work Completed:
Now, let's determine the portion of the work completed by each person when they work together.
- A's portion of work completed = A's work rate / Combined work rate
= (1/12) / (5/36)
= 3/5
- B's portion of work completed = B's work rate / Combined work rate
= (1/18) / (5/36)
= 2/5
This means that when A and B work together, A completes 3/5 of the work and B completes 2/5 of the work.
Calculating Wages:
Next, we can calculate their respective wages based on the portion of work completed.
- A's wages = (A's portion of work completed) * (Total wages)
= (3/5) * Rs. 50
= Rs. 30
- B's wages = (B's portion of work completed) * (Total wages)
= (2/5) * Rs. 50
= Rs. 20
Therefore, A will get Rs. 30 out of the total wages of Rs. 50.
Hence, the correct answer is option 'B' (Rs. 30).
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A alone can finish a piece of work in 12 days and B alone can do it in 18 days. If they work together and finish it, then out of total wages of Rs. 50, A will geta)Rs. 12b)Rs. 30c)Rs. 40d)None of theseCorrect answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A alone can finish a piece of work in 12 days and B alone can do it in 18 days. If they work together and finish it, then out of total wages of Rs. 50, A will geta)Rs. 12b)Rs. 30c)Rs. 40d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A alone can finish a piece of work in 12 days and B alone can do it in 18 days. If they work together and finish it, then out of total wages of Rs. 50, A will geta)Rs. 12b)Rs. 30c)Rs. 40d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
A alone can finish a piece of work in 12 days and B alone can do it in 18 days. If they work together and finish it, then out of total wages of Rs. 50, A will geta)Rs. 12b)Rs. 30c)Rs. 40d)None of theseCorrect answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A alone can finish a piece of work in 12 days and B alone can do it in 18 days. If they work together and finish it, then out of total wages of Rs. 50, A will geta)Rs. 12b)Rs. 30c)Rs. 40d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A alone can finish a piece of work in 12 days and B alone can do it in 18 days. If they work together and finish it, then out of total wages of Rs. 50, A will geta)Rs. 12b)Rs. 30c)Rs. 40d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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