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Mohan can do a work in 15 days. After working for 3 days he is joined by Vinod. If they complete the remaining work in 3 more days, in how many days can Vinod alone complete the work?
  • a)
    10 days
  • b)
    8 days
  • c)
    15 days
  • d)
    12 days
  • e)
    5 days
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
Mohan can do a work in 15 days. After working for 3 days he is joined ...
Total days Mohan worked = 3+3 = 6
6/15 = 2/5
So 3/5 = 3/x
x = 5
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Most Upvoted Answer
Mohan can do a work in 15 days. After working for 3 days he is joined ...
Given:
Mohan can do the work in 15 days
They complete the remaining work in 3 days after Vinod joins the work
Let's assume the total work to be done is 15 units (considering Mohan can do 1 unit of work in 1 day)

Work done by Mohan in 3 days = 3 x 1/15 = 1/5 units
Remaining work = 15 - 1 = 14 units
Work done by both Mohan and Vinod in 3 days = 14 units

Let's assume Vinod can do x units of work in 1 day
Therefore, work done by Vinod in 3 days = 3x units
Total work done by both in 3 days = 1/5 + 3x = 14
3x = 69/5
x = 23/15

Therefore, Vinod can do 23/15 units of work in 1 day
So, Vinod can complete the total work alone in 15/23 days = 0.65 days ≈ 5 days

Hence, the correct option is (E) 5 days.
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Mohan can do a work in 15 days. After working for 3 days he is joined by Vinod. If they complete the remaining work in 3 more days, in how many days can Vinod alone complete the work?a)10 daysb)8 daysc)15 daysd)12 dayse)5 daysCorrect answer is option 'E'. Can you explain this answer?
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