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X can do a piece of work in 24 days. After 4 days, Y joined him. If complete work was finished in 16 days then find out the number of days in which Y can finish that work alone?
- a)36 days
- b)42 days
- c)18 days
- d)27 days
Correct answer is option 'A'. Can you explain this answer?
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X can do a piece of work in 24 days. After 4 days, Y joined him. If c...
Given:
X can do a piece of work in 24 days.
After 4 days, Y joined him.
The complete work was finished in 16 days.
To find:
The number of days in which Y can finish the work alone.
Explanation:
Let's assume that the total work is represented by 1 unit.
So, X can complete 1 unit of work in 24 days.
Which means, in 1 day, X can complete 1/24th of the work.
After 4 days, X has completed 4/24th or 1/6th of the work.
Therefore, the remaining work is 1 - 1/6 = 5/6th.
Now, Y joins and together they complete the remaining work in 16 days.
In 1 day, they can complete 5/6 * 1/16 = 5/96th of the work.
From this, we can determine Y's efficiency in terms of fraction of work completed in 1 day.
Y's efficiency = 5/96th of the work.
Since we know that X's efficiency is 1/24th of the work in 1 day, we can find Y's efficiency by subtracting X's efficiency from the total efficiency.
Y's efficiency = Total efficiency - X's efficiency
= (5/96) - (1/24)
= (5 - 4)/96
= 1/96th of the work.
Therefore, Y can complete 1/96th of the work in 1 day.
To find the number of days Y would take to complete the entire work alone, we can calculate the reciprocal of Y's efficiency.
Number of days = 1 / (1/96)
= 96/1
= 96 days.
Hence, the number of days in which Y can finish the work alone is 96 days.
Therefore, the correct answer is option A) 36 days.
X can do a piece of work in 24 days.
After 4 days, Y joined him.
The complete work was finished in 16 days.
To find:
The number of days in which Y can finish the work alone.
Explanation:
Let's assume that the total work is represented by 1 unit.
So, X can complete 1 unit of work in 24 days.
Which means, in 1 day, X can complete 1/24th of the work.
After 4 days, X has completed 4/24th or 1/6th of the work.
Therefore, the remaining work is 1 - 1/6 = 5/6th.
Now, Y joins and together they complete the remaining work in 16 days.
In 1 day, they can complete 5/6 * 1/16 = 5/96th of the work.
From this, we can determine Y's efficiency in terms of fraction of work completed in 1 day.
Y's efficiency = 5/96th of the work.
Since we know that X's efficiency is 1/24th of the work in 1 day, we can find Y's efficiency by subtracting X's efficiency from the total efficiency.
Y's efficiency = Total efficiency - X's efficiency
= (5/96) - (1/24)
= (5 - 4)/96
= 1/96th of the work.
Therefore, Y can complete 1/96th of the work in 1 day.
To find the number of days Y would take to complete the entire work alone, we can calculate the reciprocal of Y's efficiency.
Number of days = 1 / (1/96)
= 96/1
= 96 days.
Hence, the number of days in which Y can finish the work alone is 96 days.
Therefore, the correct answer is option A) 36 days.
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X can do a piece of work in 24 days. After 4 days, Y joined him. If complete work was finished in 16 days then find out the number of days in which Y can finish that work alone?a)36 daysb)42 daysc)18 daysd)27 daysCorrect answer is option 'A'. Can you explain this answer?
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X can do a piece of work in 24 days. After 4 days, Y joined him. If complete work was finished in 16 days then find out the number of days in which Y can finish that work alone?a)36 daysb)42 daysc)18 daysd)27 daysCorrect answer is option 'A'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about X can do a piece of work in 24 days. After 4 days, Y joined him. If complete work was finished in 16 days then find out the number of days in which Y can finish that work alone?a)36 daysb)42 daysc)18 daysd)27 daysCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X can do a piece of work in 24 days. After 4 days, Y joined him. If complete work was finished in 16 days then find out the number of days in which Y can finish that work alone?a)36 daysb)42 daysc)18 daysd)27 daysCorrect answer is option 'A'. Can you explain this answer?.
X can do a piece of work in 24 days. After 4 days, Y joined him. If complete work was finished in 16 days then find out the number of days in which Y can finish that work alone?a)36 daysb)42 daysc)18 daysd)27 daysCorrect answer is option 'A'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about X can do a piece of work in 24 days. After 4 days, Y joined him. If complete work was finished in 16 days then find out the number of days in which Y can finish that work alone?a)36 daysb)42 daysc)18 daysd)27 daysCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X can do a piece of work in 24 days. After 4 days, Y joined him. If complete work was finished in 16 days then find out the number of days in which Y can finish that work alone?a)36 daysb)42 daysc)18 daysd)27 daysCorrect answer is option 'A'. Can you explain this answer?.
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X can do a piece of work in 24 days. After 4 days, Y joined him. If complete work was finished in 16 days then find out the number of days in which Y can finish that work alone?a)36 daysb)42 daysc)18 daysd)27 daysCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for X can do a piece of work in 24 days. After 4 days, Y joined him. If complete work was finished in 16 days then find out the number of days in which Y can finish that work alone?a)36 daysb)42 daysc)18 daysd)27 daysCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of X can do a piece of work in 24 days. After 4 days, Y joined him. If complete work was finished in 16 days then find out the number of days in which Y can finish that work alone?a)36 daysb)42 daysc)18 daysd)27 daysCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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