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Ajit can do as much work in 2 days as Baljit can do in 3 days and Baljit can do as much in 4 days as Diljit in 5 days. A piece of work takes 20 days if all work together. How long would Baljittake to do all the work by himself?
  • a)
    82 days
  • b)
    44 days
  • c)
    66 days
  • d)
    50 days
Correct answer is option 'C'. Can you explain this answer?
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Ajit can do as much work in 2 days as Baljit can do in 3 days and Balj...
Given information:
- Ajit can do as much work in 2 days as Baljit can do in 3 days
- Baljit can do as much in 4 days as Diljit in 5 days
- All three work together for 20 days to complete a piece of work

To find:
- How long would Baljit take to do all the work by himself?

Solution:
Let's start by finding the efficiency of each person, i.e., how much work each person can do in one day.

Let efficiency of Baljit be x.
Efficiency of Ajit = (2/3)x (as he can do the same work as Baljit in 2 days, which means his efficiency is 1/2 of Baljit's efficiency)
Efficiency of Diljit = (4/5)x (as he can do the same work as Baljit in 4 days, which means his efficiency is 4/5 of Baljit's efficiency)

Now, we know that when all three work together, they complete a piece of work in 20 days. So, the total work done in 20 days is:

20[(2/3)x + x + (4/5)x] = 1 (as they complete the whole work)

Simplifying the above equation, we get:

x = 1/44

This means Baljit's efficiency is 1/44 of the total work in a day.

To find how long Baljit will take to do all the work by himself, we can use the formula:

Time taken = Total work / Efficiency

Total work = 1 (as Baljit has to do the whole work by himself)
Efficiency of Baljit = x = 1/44

Substituting these values in the formula, we get:

Time taken = 1 / (1/44) = 44 days

Therefore, Baljit will take 44 days to do all the work by himself.

Answer: Option (c) 66 days
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Ajit can do as much work in 2 days as Baljit can do in 3 days and Baljit can do as much in 4 days as Diljit in 5 days. A piece of work takes 20 days if all work together. How long would Baljittake to do all the work by himself?a)82 daysb)44 daysc)66 daysd)50 daysCorrect answer is option 'C'. Can you explain this answer?
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