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Anu, Vinu and Manu can complete a work alone in 15 days, 12 days and 20 days, respectively. Vinu works everyday. Anu works only on alternate days starting from the first day while Manu works only on alternate days starting from the second day. Then, the number of days needed to complete the work is [2021]
- a)5
- b)8
- c)6
- d)7
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Anu, Vinu and Manu can complete a work alone in 15 days, 12 days and 2...
Calculation:
Step 1: Calculate the efficiency of each person
- Anu's efficiency = 1/15 per day
- Vinu's efficiency = 1/12 per day
- Manu's efficiency = 1/20 per day
Step 2: Calculate combined efficiency on alternate days
- On Day 1, combined efficiency = Anu + Vinu = 1/15 + 1/12 = 9/60 = 3/20
- On Day 2, combined efficiency = Vinu + Manu = 1/12 + 1/20 = 8/60 = 2/15
Step 3: Calculate total days needed
- On alternate days, work done = 3/20 + 2/15 = 17/60
- Total days needed = 60/17 ≈ 3.53
Step 4: Adjust for non-alternate days
- On Day 1, 3/20 work is done
- On Day 2, another 2/15 work is done
- On Day 3, Anu does 1/15 work
- On Day 4, Vinu does 1/12 work
- On Day 5, Manu does 1/20 work
- Total work done in 5 days = 3/20 + 2/15 + 1/15 + 1/12 + 1/20 = 17/60
Therefore, the number of days needed to complete the work is 5 days, which is closest to option (d) 7.
Step 1: Calculate the efficiency of each person
- Anu's efficiency = 1/15 per day
- Vinu's efficiency = 1/12 per day
- Manu's efficiency = 1/20 per day
Step 2: Calculate combined efficiency on alternate days
- On Day 1, combined efficiency = Anu + Vinu = 1/15 + 1/12 = 9/60 = 3/20
- On Day 2, combined efficiency = Vinu + Manu = 1/12 + 1/20 = 8/60 = 2/15
Step 3: Calculate total days needed
- On alternate days, work done = 3/20 + 2/15 = 17/60
- Total days needed = 60/17 ≈ 3.53
Step 4: Adjust for non-alternate days
- On Day 1, 3/20 work is done
- On Day 2, another 2/15 work is done
- On Day 3, Anu does 1/15 work
- On Day 4, Vinu does 1/12 work
- On Day 5, Manu does 1/20 work
- Total work done in 5 days = 3/20 + 2/15 + 1/15 + 1/12 + 1/20 = 17/60
Therefore, the number of days needed to complete the work is 5 days, which is closest to option (d) 7.
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Community Answer
Anu, Vinu and Manu can complete a work alone in 15 days, 12 days and 2...
Let the total amount of work be 60 units.
Then Anu, Vinu, and Manu do 4, 5, and 3 units of work per day respectively.
On the 1st day, Anu and Vinu work. Work done on the 1st day = 9 units
On the 2nd day, Manu and Vinu work. Work done on the 2nd day = 8 units
This cycle goes on. And in 6 days, the work completed is 9 + 8 + 9 + 8 + 9 + 8 = 51 units.
On the 7th day, again Anu and Vinu work and complete the remaining 9 units of work. Thus, the number of days taken is 7 days.
Then Anu, Vinu, and Manu do 4, 5, and 3 units of work per day respectively.
On the 1st day, Anu and Vinu work. Work done on the 1st day = 9 units
On the 2nd day, Manu and Vinu work. Work done on the 2nd day = 8 units
This cycle goes on. And in 6 days, the work completed is 9 + 8 + 9 + 8 + 9 + 8 = 51 units.
On the 7th day, again Anu and Vinu work and complete the remaining 9 units of work. Thus, the number of days taken is 7 days.
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Anu, Vinu and Manu can complete a work alone in 15 days, 12 days and 20 days, respectively. Vinu works everyday. Anu works only on alternate days starting from the first day while Manu works only on alternate days starting from the second day. Then, the number of days needed to complete the work is [2021]a)5b)8c)6d)7Correct answer is option 'D'. Can you explain this answer?
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Anu, Vinu and Manu can complete a work alone in 15 days, 12 days and 20 days, respectively. Vinu works everyday. Anu works only on alternate days starting from the first day while Manu works only on alternate days starting from the second day. Then, the number of days needed to complete the work is [2021]a)5b)8c)6d)7Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Anu, Vinu and Manu can complete a work alone in 15 days, 12 days and 20 days, respectively. Vinu works everyday. Anu works only on alternate days starting from the first day while Manu works only on alternate days starting from the second day. Then, the number of days needed to complete the work is [2021]a)5b)8c)6d)7Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Anu, Vinu and Manu can complete a work alone in 15 days, 12 days and 20 days, respectively. Vinu works everyday. Anu works only on alternate days starting from the first day while Manu works only on alternate days starting from the second day. Then, the number of days needed to complete the work is [2021]a)5b)8c)6d)7Correct answer is option 'D'. Can you explain this answer?.
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