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Ravi can do a piece of work in 16 days. Rakesh can do the same work in 64/5 days, while Geeta can do it in 32 days. All of them started to work together but Ravi leaves after 4 days. Rakesh leaves the job 3 days before the completion of the work. How long would the work last?
  • a)
    6 days
  • b)
    9 days
  • c)
    18 days
  • d)
    5 days
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Ravi can do a piece of work in 16 days. Rakesh can do the same work in...
Let the work lasted for x days,
Ravi’s 4 day’s work + Rakesh (x – 3) day’s work + Geeta’s x day’s work = 1
⇒ (4/16) + (x – 3) / (64/5) + x/32 = 1
⇒ 5(x – 3)/64 + x/32 = 1 – 1/4
⇒ [5(x – 3) + 2x] / 64 = 3/4
⇒ 7x – 15 = 48
∴ x = (48 + 15)/7 = 63/7 = 9 days
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Most Upvoted Answer
Ravi can do a piece of work in 16 days. Rakesh can do the same work in...
Given Data:
Ravi can do a piece of work in 16 days.
Rakesh can do the same work in 64/5 days, while Geeta can do it in 32 days.

Calculation:
Let the total work be 1 unit.
Ravi's 1-day work = 1/16
Rakesh's 1-day work = 5/64
Geeta's 1-day work = 1/32

Let the work be completed in x days.
Total work done in 4 days by Ravi, (4/16) = (1/4) units
Total work done by Rakesh in (x-3) days, (5/64)*(x-3) = (5x-15)/64 units

As all worked together, the remaining work done by Ravi, Rakesh, and Geeta will be equal to 1 - (1/4) - (5x-15)/64 - (x/32)

Now, equating the total work done to 1, we get:
1/4 + 5x-15/64 + x/32 + 1/4 = 1
5x - 15/64 + x/32 = 1/2
320x - 960 + 8x = 64
328x = 1024
x = 1024/328
x = 25/8

Thus, the work will last for 25/8 days or 3 1/8 days.
Rakesh leaves the job 3 days before the completion of the work, so the actual time taken to complete the work is (25/8 + 3) = 9 days.

Hence, the correct answer is option (b) 9 days.
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Community Answer
Ravi can do a piece of work in 16 days. Rakesh can do the same work in...
Answer is b
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Ravi can do a piece of work in 16 days. Rakesh can do the same work in 64/5 days, while Geeta can do it in 32 days. All of them started to work together but Ravi leaves after 4 days. Rakesh leaves the job 3 days before the completion of the work. How long would the work last?a)6 daysb)9 daysc)18 daysd)5 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
Ravi can do a piece of work in 16 days. Rakesh can do the same work in 64/5 days, while Geeta can do it in 32 days. All of them started to work together but Ravi leaves after 4 days. Rakesh leaves the job 3 days before the completion of the work. How long would the work last?a)6 daysb)9 daysc)18 daysd)5 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 Ravi can do a piece of work in 16 days. Rakesh can do the same work in 64/5 days, while Geeta can do it in 32 days. All of them started to work together but Ravi leaves after 4 days. Rakesh leaves the job 3 days before the completion of the work. How long would the work last?a)6 daysb)9 daysc)18 daysd)5 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 Ravi can do a piece of work in 16 days. Rakesh can do the same work in 64/5 days, while Geeta can do it in 32 days. All of them started to work together but Ravi leaves after 4 days. Rakesh leaves the job 3 days before the completion of the work. How long would the work last?a)6 daysb)9 daysc)18 daysd)5 dayse)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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