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Aman can complete a piece of work in 5 days, but with the help of his son he can finish the same piece of work in 3 days. Find the time taken by the son alone to complete the work?
  • a)
    6 days
  • b)
    7 days
  • c)
    9 days
  • d)
    7.5 days
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Aman can complete a piece of work in 5 days, but with the help of his...
If A can do a work in 'x' days and A + B can do the same work in 'y' days, then the number of days required to complete the work if B works alone is given by the formula: ( x * y)/(x-y).
Aman alone takes 5 days (i.e x) to complete a piece of work and along with his son he can complete same of piece of work in 3 days(i.e y).
Therefore, his son alone takes ( x * y)/(x-y) days to complete the same piece of work.
By substituting the given values in formula, his so will take (5 * 3)/(5-3) = 15/2 = 7.5 days.
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Most Upvoted Answer
Aman can complete a piece of work in 5 days, but with the help of his...
Given data: Aman can complete a piece of work in 5 days, and with the help of his son, he can finish the same piece of work in 3 days.

Let us assume that the total work is 1 unit.
Therefore, Aman can complete the work in 5 days.
So, his 1 day work = 1/5.

Now, let us assume that the son can complete the work in x days.
So, his 1 day work = 1/x.

Together, Aman and his son complete the work in 3 days.
So, their 1 day work = 1/3.

According to the question, Aman and his son work together to complete the work.
Therefore, their combined 1 day work = Aman's 1 day work + Son's 1 day work.

(1/3) = (1/5) + (1/x)

Simplifying the equation, we get:

2/15 = 1/x

x = 7.5 days

Hence, the son alone can complete the work in 7.5 days.
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Aman can complete a piece of work in 5 days, but with the help of his son he can finish the same piece of work in 3 days. Find the time taken by the son alone to complete the work?a) 6 daysb) 7 daysc) 9 daysd) 7.5 daysCorrect answer is option 'D'. Can you explain this answer?
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Aman can complete a piece of work in 5 days, but with the help of his son he can finish the same piece of work in 3 days. Find the time taken by the son alone to complete the work?a) 6 daysb) 7 daysc) 9 daysd) 7.5 daysCorrect answer is option 'D'. 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 Aman can complete a piece of work in 5 days, but with the help of his son he can finish the same piece of work in 3 days. Find the time taken by the son alone to complete the work?a) 6 daysb) 7 daysc) 9 daysd) 7.5 daysCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Aman can complete a piece of work in 5 days, but with the help of his son he can finish the same piece of work in 3 days. Find the time taken by the son alone to complete the work?a) 6 daysb) 7 daysc) 9 daysd) 7.5 daysCorrect answer is option 'D'. Can you explain this answer?.
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