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Ajay and Vijay together can do a piece of work in 6 days. Ajay alone does it in 10 days. Whattime does Vijay require to do it alone?
- a)20 days
- b)15 days
- c)25 days
- d)30 days
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Ajay and Vijay together can do a piece of work in 6 days. Ajay alone d...
A + V = 16.66% and A = 10% Æ V = 6.66%. Consequently Vijay would require 100/6.66 = 15
days to do it alone.
days to do it alone.
Most Upvoted Answer
Ajay and Vijay together can do a piece of work in 6 days. Ajay alone d...
Given:
Ajay and Vijay together can do a piece of work in 6 days.
Ajay alone does it in 10 days.
To find:
Time taken by Vijay to do the work alone.
Solution:
Let the work be 1 unit.
Let's assume that Vijay takes x days to finish the work alone.
According to the given information,
Ajay and Vijay together can do the work in 6 days.
So, the work done by Ajay and Vijay in one day is 1/6.
Ajay alone does the work in 10 days.
So, the work done by Ajay in one day is 1/10.
Let's assume that the work done by Vijay in one day is v.
So, the work done by Ajay and Vijay together in one day is (1/6) = (1/10) + v.
Simplifying the above equation, we get:
v = 1/6 - 1/10
v = 1/15
So, Vijay can do the work alone in 15 days.
Therefore, the correct option is (b) 15 days.
HTML representation of solution:
Ajay and Vijay together can do a piece of work in 6 days.
Ajay alone does it in 10 days.
To find:
Time taken by Vijay to do the work alone.
Solution:
Let the work be 1 unit.
Let's assume that Vijay takes x days to finish the work alone.
According to the given information,
Ajay and Vijay together can do the work in 6 days.
So, the work done by Ajay and Vijay in one day is 1/6.
Ajay alone does the work in 10 days.
So, the work done by Ajay in one day is 1/10.
Let's assume that the work done by Vijay in one day is v.
So, the work done by Ajay and Vijay together in one day is (1/6) = (1/10) + v.
Simplifying the above equation, we get:
v = 1/6 - 1/10
v = 1/15
So, Vijay can do the work alone in 15 days.
Therefore, the correct option is (b) 15 days.
HTML representation of solution:
Given:
Ajay and Vijay together can do a piece of work in 6 days.
Ajay alone does it in 10 days.
To find:
Time taken by Vijay to do the work alone.
Solution:
Let the work be 1 unit.
Let's assume that Vijay takes x days to finish the work alone.
According to the given information,
Ajay and Vijay together can do the work in 6 days.
So, the work done by Ajay and Vijay in one day is 1/6.
Ajay alone does the work in 10 days.
So, the work done by Ajay in one day is 1/10.
Let's assume that the work done by Vijay in one day is v.
So, the work done by Ajay and Vijay together in one day is (1/6) = (1/10) + v.
Simplifying the above equation, we get:
v = 1/6 - 1/10
v = 1/15
So, Vijay can do the work alone in 15 days.
Therefore, the correct option is (b) 15 days.
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Ajay and Vijay together can do a piece of work in 6 days. Ajay alone does it in 10 days. Whattime does Vijay require to do it alone?a)20 daysb)15 daysc)25 daysd)30 daysCorrect answer is option 'B'. Can you explain this answer?
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