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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?
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Most Upvoted Answer
Aman can complete a piece of work in 5 days, but with the help of his ...
Given, 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's assume the work to be done is W, and the efficiency of Aman and his son be a and s respectively.
From the given information, we can write two equations:
Aman alone can complete the work in 5 days:
a × 5 = W --- Equation 1
Aman and his son can complete the same work in 3 days:
(a + s) × 3 = W --- Equation 2
Now, we need to find the time taken by the son alone to complete the work, which can be represented as s × t = W, where t is the time taken by the son alone to complete the work.
We can rewrite Equation 2 as:
a × 3 + s × 3 = W
Substituting Equation 1 in the above equation, we get:
W/5 × 3 + s × 3 = W
3a + 3s = 5s
s = 3a/2
Substituting this value of s in Equation 1, we get:
a × 5 = W
a = W/5
Substituting the values of a and s in s × t = W, we get:
(W/5) × t = W
t = 5/2 days = 2.5 days
Therefore, the time taken by the son alone to complete the work is 2.5 days or 7.5 days (option D).
Let's assume the work to be done is W, and the efficiency of Aman and his son be a and s respectively.
From the given information, we can write two equations:
Aman alone can complete the work in 5 days:
a × 5 = W --- Equation 1
Aman and his son can complete the same work in 3 days:
(a + s) × 3 = W --- Equation 2
Now, we need to find the time taken by the son alone to complete the work, which can be represented as s × t = W, where t is the time taken by the son alone to complete the work.
We can rewrite Equation 2 as:
a × 3 + s × 3 = W
Substituting Equation 1 in the above equation, we get:
W/5 × 3 + s × 3 = W
3a + 3s = 5s
s = 3a/2
Substituting this value of s in Equation 1, we get:
a × 5 = W
a = W/5
Substituting the values of a and s in s × t = W, we get:
(W/5) × t = W
t = 5/2 days = 2.5 days
Therefore, the time taken by the son alone to complete the work is 2.5 days or 7.5 days (option D).
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Community 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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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 Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 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 Class 12 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?.
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 Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 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 Class 12 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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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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
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