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Chitra is twice efficient as Arun. Bala takes thrice as many days as Chitra. Arun takes 12 days to finish the work alone. If they work in pairs(i.e Arun-Bala, BalaChitra, Chitra-Arun) starting with Arun – Bala on the first day, Bala – Chitra on the second day and Chitra – Arun on the third day and so on, then how many days are required to finish the work?
- a)26/9 days
- b)46/9 days
- c)16/9 days
- d)56/9 days
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Chitra is twice efficient as Arun. Bala takes thrice as many days as C...
No of days taken by Arun = 12 days
No of days(Arun:Bala:Chitra) = 2:3:1
1 day work of (Arun+Bala) = 5/36
1 day work of (Bala+Chitra) = 8/36
1 day work of (Chitra+Arun) = 9/36
5 days total work – 35/36
1/36 is done by Arun-Chitra
Number of days taken by Arun-Chitra for the rest of the work = (1/36)/(9/36) = 1/9
Total time taken to complete the work = 5 + 1/9 = 46/9 days
No of days(Arun:Bala:Chitra) = 2:3:1
1 day work of (Arun+Bala) = 5/36
1 day work of (Bala+Chitra) = 8/36
1 day work of (Chitra+Arun) = 9/36
5 days total work – 35/36
1/36 is done by Arun-Chitra
Number of days taken by Arun-Chitra for the rest of the work = (1/36)/(9/36) = 1/9
Total time taken to complete the work = 5 + 1/9 = 46/9 days
Most Upvoted Answer
Chitra is twice efficient as Arun. Bala takes thrice as many days as C...
Let's first find out how long it takes for Arun to complete the work alone. We know that Arun takes 12 days to finish the work alone, so his efficiency is 1/12th of the work done in a day.
Now, we also know that Chitra is twice as efficient as Arun. This means that Chitra's efficiency is twice that of Arun's, which is 2/12th or 1/6th of the work done in a day.
Bala takes thrice as many days as Chitra, so his efficiency is 1/3rd of Chitra's. Therefore, Bala's efficiency is 1/18th of the work done in a day.
Now, let's see how long it takes for each pair to complete the work:
1. Arun-Bala pair:
Their combined efficiency is 1/12 + 1/18 = 5/36th of the work done in a day. Therefore, they can complete the work in 36/5 or 7.2 days.
2. Bala-Chitra pair:
Their combined efficiency is 1/6 + 1/18 = 2/9th of the work done in a day. Therefore, they can complete the work in 9/2 or 4.5 days.
3. Chitra-Arun pair:
Their combined efficiency is 1/6 + 1/12 = 3/12th or 1/4th of the work done in a day. Therefore, they can complete the work in 4 days.
Now, let's see how the work progresses if they start with Arun:
Day 1: Arun works alone and completes 1/12th of the work.
Day 2-3: Arun-Bala pair works and completes 10/36th of the work (5/36th per day).
Day 4-7: Bala-Chitra pair works and completes 8/36th of the work (2/9th per day).
Day 8-11: Chitra-Arun pair works and completes 12/36th or 1/3rd of the work (1/4th per day).
Therefore, the work is completed in 11 days if they start with Arun.
Now, we also know that Chitra is twice as efficient as Arun. This means that Chitra's efficiency is twice that of Arun's, which is 2/12th or 1/6th of the work done in a day.
Bala takes thrice as many days as Chitra, so his efficiency is 1/3rd of Chitra's. Therefore, Bala's efficiency is 1/18th of the work done in a day.
Now, let's see how long it takes for each pair to complete the work:
1. Arun-Bala pair:
Their combined efficiency is 1/12 + 1/18 = 5/36th of the work done in a day. Therefore, they can complete the work in 36/5 or 7.2 days.
2. Bala-Chitra pair:
Their combined efficiency is 1/6 + 1/18 = 2/9th of the work done in a day. Therefore, they can complete the work in 9/2 or 4.5 days.
3. Chitra-Arun pair:
Their combined efficiency is 1/6 + 1/12 = 3/12th or 1/4th of the work done in a day. Therefore, they can complete the work in 4 days.
Now, let's see how the work progresses if they start with Arun:
Day 1: Arun works alone and completes 1/12th of the work.
Day 2-3: Arun-Bala pair works and completes 10/36th of the work (5/36th per day).
Day 4-7: Bala-Chitra pair works and completes 8/36th of the work (2/9th per day).
Day 8-11: Chitra-Arun pair works and completes 12/36th or 1/3rd of the work (1/4th per day).
Therefore, the work is completed in 11 days if they start with Arun.
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Chitra is twice efficient as Arun. Bala takes thrice as many days as Chitra. Arun takes 12 days to finish the work alone. If they work in pairs(i.e Arun-Bala, BalaChitra, Chitra-Arun) starting with Arun – Bala on the first day, Bala – Chitra on the second day and Chitra – Arun on the third day and so on, then how many days are required to finish the work?a)26/9 daysb)46/9 daysc)16/9 daysd)56/9 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?
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Chitra is twice efficient as Arun. Bala takes thrice as many days as Chitra. Arun takes 12 days to finish the work alone. If they work in pairs(i.e Arun-Bala, BalaChitra, Chitra-Arun) starting with Arun – Bala on the first day, Bala – Chitra on the second day and Chitra – Arun on the third day and so on, then how many days are required to finish the work?a)26/9 daysb)46/9 daysc)16/9 daysd)56/9 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Chitra is twice efficient as Arun. Bala takes thrice as many days as Chitra. Arun takes 12 days to finish the work alone. If they work in pairs(i.e Arun-Bala, BalaChitra, Chitra-Arun) starting with Arun – Bala on the first day, Bala – Chitra on the second day and Chitra – Arun on the third day and so on, then how many days are required to finish the work?a)26/9 daysb)46/9 daysc)16/9 daysd)56/9 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Chitra is twice efficient as Arun. Bala takes thrice as many days as Chitra. Arun takes 12 days to finish the work alone. If they work in pairs(i.e Arun-Bala, BalaChitra, Chitra-Arun) starting with Arun – Bala on the first day, Bala – Chitra on the second day and Chitra – Arun on the third day and so on, then how many days are required to finish the work?a)26/9 daysb)46/9 daysc)16/9 daysd)56/9 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Chitra is twice efficient as Arun. Bala takes thrice as many days as Chitra. Arun takes 12 days to finish the work alone. If they work in pairs(i.e Arun-Bala, BalaChitra, Chitra-Arun) starting with Arun – Bala on the first day, Bala – Chitra on the second day and Chitra – Arun on the third day and so on, then how many days are required to finish the work?a)26/9 daysb)46/9 daysc)16/9 daysd)56/9 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Chitra is twice efficient as Arun. Bala takes thrice as many days as Chitra. Arun takes 12 days to finish the work alone. If they work in pairs(i.e Arun-Bala, BalaChitra, Chitra-Arun) starting with Arun – Bala on the first day, Bala – Chitra on the second day and Chitra – Arun on the third day and so on, then how many days are required to finish the work?a)26/9 daysb)46/9 daysc)16/9 daysd)56/9 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Chitra is twice efficient as Arun. Bala takes thrice as many days as Chitra. Arun takes 12 days to finish the work alone. If they work in pairs(i.e Arun-Bala, BalaChitra, Chitra-Arun) starting with Arun – Bala on the first day, Bala – Chitra on the second day and Chitra – Arun on the third day and so on, then how many days are required to finish the work?a)26/9 daysb)46/9 daysc)16/9 daysd)56/9 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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