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A and B alone can do a piece of work in 8 and 18 days, respectively. In how many days will the work be completed if they both work on alternate days starting with B?
Pls answer, in edurev answer was 10 7/9days but my answer is 11 1/3 days. Kindly tell which is correct and why?
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A and B alone can do a piece of work in 8 and 18 days, respectively. I...
Given Information:
- A can complete a piece of work in 8 days.
- B can complete the same piece of work in 18 days.

Approach:
To find out how many days it will take for both A and B to complete the work if they work on alternate days, we need to calculate the work done by each of them in one day.

Calculating Work Done in One Day:
- A can complete the work in 8 days, so the work done by A in one day = 1/8.
- B can complete the work in 18 days, so the work done by B in one day = 1/18.

Calculating the Total Work:
To calculate the total work, we need to find the least common multiple (LCM) of 8 and 18, which is 72. This means that the total work requires 72 units of effort.

Calculating Work Done by A and B:
Since A and B are working on alternate days, we can divide the total work equally between them.
- On day 1, B starts working and completes 1/18th of the work.
- On day 2, A starts working and completes 1/8th of the work.
- On day 3, B continues and completes another 1/18th of the work.
- This pattern continues until the total work is completed.

Calculating the Number of Days:
To find out how many days it will take for the total work to be completed, we need to add up the work done by A and B in each cycle until the total work is reached.

Calculation:
- On day 1: B completes 1/18th of the work.
- On day 2: A completes 1/8th of the work.
- On day 3: B completes another 1/18th of the work.
- On day 4: A completes another 1/8th of the work.
- On day 5: B completes another 1/18th of the work.
- On day 6: A completes another 1/8th of the work.
- On day 7: B completes another 1/18th of the work.
- On day 8: A completes another 1/8th of the work.
- On day 9: B completes another 1/18th of the work.
- On day 10: A completes another 1/8th of the work.
- On day 11: B completes another 1/18th of the work.

At this point, the total work is completed. Therefore, the work will be completed in 11 days.

Conclusion:
Hence, the correct answer is 11 days, not 10 7/9 days.
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A and B alone can do a piece of work in 8 and 18 days, respectively. In how many days will the work be completed if they both work on alternate days starting with B?Pls answer, in edurev answer was 10 7/9days but my answer is 11 1/3 days. Kindly tell which is correct and why?
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A and B alone can do a piece of work in 8 and 18 days, respectively. In how many days will the work be completed if they both work on alternate days starting with B?Pls answer, in edurev answer was 10 7/9days but my answer is 11 1/3 days. Kindly tell which is correct and why? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A and B alone can do a piece of work in 8 and 18 days, respectively. In how many days will the work be completed if they both work on alternate days starting with B?Pls answer, in edurev answer was 10 7/9days but my answer is 11 1/3 days. Kindly tell which is correct and why? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A and B alone can do a piece of work in 8 and 18 days, respectively. In how many days will the work be completed if they both work on alternate days starting with B?Pls answer, in edurev answer was 10 7/9days but my answer is 11 1/3 days. Kindly tell which is correct and why?.
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