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Ajay and Vijay can do a piece of work in 28 days. With the help of Manoj, they can finish it in 21days. How long will Manoj take to finish the work all alone?
- a)84 days
- b)80 days
- c)75 days
- d)70 days
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Ajay and Vijay can do a piece of work in 28 days. With the help of Man...
Ajay + Vijay = 1/28 and Ajay + Vijay + Manoj = 1/21.
Hence, Manoj = 1/21 – 1/28 = 1/84.
Hence, Manoj will take 84 days to do the work.
Hence, Manoj = 1/21 – 1/28 = 1/84.
Hence, Manoj will take 84 days to do the work.
Most Upvoted Answer
Ajay and Vijay can do a piece of work in 28 days. With the help of Man...
Given:
Ajay and Vijay can do a piece of work in 28 days.
With the help of Manoj, they can finish it in 21 days.
To find:
How long will Manoj take to finish the work all alone?
Solution:
Let the work be W.
Let the efficiency of Ajay be A.
Let the efficiency of Vijay be V.
Let the efficiency of Manoj be M.
From the given information, we can form the following equations:
A + V = W/28 ...(1)
A + V + M = W/21 ...(2)
Subtracting equation (1) from equation (2), we get:
M = W/21 - W/28
M = W(4/84)
M = W/21
So, Manoj's efficiency is 1/21 of the work per day.
Therefore, Manoj will take 21 days to finish the work all alone.
Hence, the correct answer is option (a) 84 days.
Ajay and Vijay can do a piece of work in 28 days.
With the help of Manoj, they can finish it in 21 days.
To find:
How long will Manoj take to finish the work all alone?
Solution:
Let the work be W.
Let the efficiency of Ajay be A.
Let the efficiency of Vijay be V.
Let the efficiency of Manoj be M.
From the given information, we can form the following equations:
A + V = W/28 ...(1)
A + V + M = W/21 ...(2)
Subtracting equation (1) from equation (2), we get:
M = W/21 - W/28
M = W(4/84)
M = W/21
So, Manoj's efficiency is 1/21 of the work per day.
Therefore, Manoj will take 21 days to finish the work all alone.
Hence, the correct answer is option (a) 84 days.
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