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A can do a piece of work in 12 hours and with the help of his son, he is able to do it in 8 hours. How many hours will the son alone take to finish the work?
- a)20 hours
- b)24 hours
- c)4 hours
- d)None
- e)All of the above
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A can do a piece of work in 12 hours and with the help of his son, he ...
Correct Answer :- b
Explanation : M can do 1/12 work in a day.
M and S altogether will do 1/8 work in a day.
Work of M in a day + Work of S in a day
1/M + 1/S = 1/8
1/12 + 1/S = 1/8
1/S = 1/8 – 1/12
1/S = 1/24
S = 24
That means S in one day can do 24 work
Most Upvoted Answer
A can do a piece of work in 12 hours and with the help of his son, he ...
Work done by father in one day=1/12
work done by father and son in one day=1/8
therefore,
work done by sun in one day=(1/8)-(1/12)
=1/24
hence , time taken by sun to complete the work=24
therefore 'B' is the correct option
work done by father and son in one day=1/8
therefore,
work done by sun in one day=(1/8)-(1/12)
=1/24
hence , time taken by sun to complete the work=24
therefore 'B' is the correct option
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Community Answer
A can do a piece of work in 12 hours and with the help of his son, he ...
Given information:
- A can do the work in 12 hours.
- A and his son together can do the work in 8 hours.
Let's assume that the son can complete the work in x hours.
Work done by A in 1 hour = 1/12
Work done by A and his son together in 1 hour = 1/8
Work done by the son in 1 hour = 1/x
Using the concept of work done, we can set up the following equation:
1/12 + 1/x = 1/8
To solve this equation, we need to find a common denominator. In this case, the common denominator is 24x:
2x/24x + 3/24x = 1/8
Combining the terms on the left side of the equation:
(2x + 3)/24x = 1/8
Cross-multiplying:
8(2x + 3) = 24x
Simplifying:
16x + 24 = 24x
Subtracting 16x from both sides:
24 = 8x
Dividing both sides by 8:
3 = x
Therefore, the son alone will take 3 hours to finish the work.
The correct answer is option B) 24 hours.
- A can do the work in 12 hours.
- A and his son together can do the work in 8 hours.
Let's assume that the son can complete the work in x hours.
Work done by A in 1 hour = 1/12
Work done by A and his son together in 1 hour = 1/8
Work done by the son in 1 hour = 1/x
Using the concept of work done, we can set up the following equation:
1/12 + 1/x = 1/8
To solve this equation, we need to find a common denominator. In this case, the common denominator is 24x:
2x/24x + 3/24x = 1/8
Combining the terms on the left side of the equation:
(2x + 3)/24x = 1/8
Cross-multiplying:
8(2x + 3) = 24x
Simplifying:
16x + 24 = 24x
Subtracting 16x from both sides:
24 = 8x
Dividing both sides by 8:
3 = x
Therefore, the son alone will take 3 hours to finish the work.
The correct answer is option B) 24 hours.
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A can do a piece of work in 12 hours and with the help of his son, he is able to do it in 8 hours. How many hours will the son alone take to finish the work?a)20 hoursb)24 hoursc)4 hoursd)Nonee)All of the aboveCorrect answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A can do a piece of work in 12 hours and with the help of his son, he is able to do it in 8 hours. How many hours will the son alone take to finish the work?a)20 hoursb)24 hoursc)4 hoursd)Nonee)All of the aboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can do a piece of work in 12 hours and with the help of his son, he is able to do it in 8 hours. How many hours will the son alone take to finish the work?a)20 hoursb)24 hoursc)4 hoursd)Nonee)All of the aboveCorrect answer is option 'B'. Can you explain this answer?.
A can do a piece of work in 12 hours and with the help of his son, he is able to do it in 8 hours. How many hours will the son alone take to finish the work?a)20 hoursb)24 hoursc)4 hoursd)Nonee)All of the aboveCorrect answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A can do a piece of work in 12 hours and with the help of his son, he is able to do it in 8 hours. How many hours will the son alone take to finish the work?a)20 hoursb)24 hoursc)4 hoursd)Nonee)All of the aboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can do a piece of work in 12 hours and with the help of his son, he is able to do it in 8 hours. How many hours will the son alone take to finish the work?a)20 hoursb)24 hoursc)4 hoursd)Nonee)All of the aboveCorrect answer is option 'B'. Can you explain this answer?.
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