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A and B together can complete a work in 3 days. They start together but after 2 days, B left the work. If the work is completed after two more days, B alone could do the work in:
- a)5 days
- b)6 days
- c)9 days
- d)10 days
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A and B together can complete a work in 3 days. They start together b...
(A+B)'s one day's work = 1/3 part
View all questions of this test
(A+B) works 2 days together = 2/3 part
1/3 part of work is completed by A in two days
Hence, one day's work of A = ⅙
Then, one day's work of
So, B alone can complete the whole work in 6 days.
Hence, the correct option is (B).
Most Upvoted Answer
A and B together can complete a work in 3 days. They start together b...
Given Information:
- A and B together can complete a work in 3 days.
- They start together but after 2 days, B left the work.
- The work is completed after two more days.
Objective:
Find the time taken by B alone to complete the work.
Assumption:
Let's assume that A and B work at a constant rate throughout the duration of the work.
Explanation:
To solve this problem, we can use the concept of work done. The work done is calculated by multiplying the rate at which work is done by the time taken to complete the work.
Step 1: Calculate the total work:
Let's assume that the total work to be done is represented by W. Since A and B together can complete the work in 3 days, their combined rate of work is W/3.
Step 2: Calculate the work done in the first 2 days:
Since A and B work together for 2 days, the work done by them in these 2 days is (W/3) * 2 = (2W/3).
Step 3: Calculate the remaining work:
The work remaining to be done after 2 days is the total work minus the work done in the first 2 days. Therefore, the remaining work is W - (2W/3) = (W/3).
Step 4: Calculate the time taken by B to complete the remaining work:
We are given that the remaining work is completed after two more days. Since B is working alone during these two days, we can calculate B's rate of work as (W/3) / 2 = W/6. This means that B can complete the remaining work (W/3) in 2 days.
Step 5: Calculate the time taken by B to complete the entire work:
Since B can complete the remaining work (W/3) in 2 days, we can calculate the time taken by B to complete the entire work (W) as (2 days) * (3/1) = 6 days.
Therefore, the correct answer is option 'B', i.e., B alone could do the work in 6 days.
- A and B together can complete a work in 3 days.
- They start together but after 2 days, B left the work.
- The work is completed after two more days.
Objective:
Find the time taken by B alone to complete the work.
Assumption:
Let's assume that A and B work at a constant rate throughout the duration of the work.
Explanation:
To solve this problem, we can use the concept of work done. The work done is calculated by multiplying the rate at which work is done by the time taken to complete the work.
Step 1: Calculate the total work:
Let's assume that the total work to be done is represented by W. Since A and B together can complete the work in 3 days, their combined rate of work is W/3.
Step 2: Calculate the work done in the first 2 days:
Since A and B work together for 2 days, the work done by them in these 2 days is (W/3) * 2 = (2W/3).
Step 3: Calculate the remaining work:
The work remaining to be done after 2 days is the total work minus the work done in the first 2 days. Therefore, the remaining work is W - (2W/3) = (W/3).
Step 4: Calculate the time taken by B to complete the remaining work:
We are given that the remaining work is completed after two more days. Since B is working alone during these two days, we can calculate B's rate of work as (W/3) / 2 = W/6. This means that B can complete the remaining work (W/3) in 2 days.
Step 5: Calculate the time taken by B to complete the entire work:
Since B can complete the remaining work (W/3) in 2 days, we can calculate the time taken by B to complete the entire work (W) as (2 days) * (3/1) = 6 days.
Therefore, the correct answer is option 'B', i.e., B alone could do the work in 6 days.
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A and B together can complete a work in 3 days. They start together but after 2 days, B left the work. If the work is completed after two more days, B alone could do the work in:a)5 daysb)6 daysc)9 daysd)10 daysCorrect answer is option 'B'. Can you explain this answer?
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A and B together can complete a work in 3 days. They start together but after 2 days, B left the work. If the work is completed after two more days, B alone could do the work in:a)5 daysb)6 daysc)9 daysd)10 daysCorrect answer is option 'B'. Can you explain this answer? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about A and B together can complete a work in 3 days. They start together but after 2 days, B left the work. If the work is completed after two more days, B alone could do the work in:a)5 daysb)6 daysc)9 daysd)10 daysCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B together can complete a work in 3 days. They start together but after 2 days, B left the work. If the work is completed after two more days, B alone could do the work in:a)5 daysb)6 daysc)9 daysd)10 daysCorrect answer is option 'B'. Can you explain this answer?.
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