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In a cucumber factory, there are equal number of women and children. Women work for 8 h a day and children for 6 h a day. During festival time, the work load goes up by 50%. The government rule does not allow children to work for more than 8 h a day. If they are equally efficient and the extra work is done by women, then extra hours of work put in by women every day are?
- a)5
- b)3
- c)4
- d)9
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
In a cucumber factory, there are equal number of women and children. W...
Let extra hours a day are x.
According to the formula,
(M1D1T1) / W1 = (M2D2T2) / W2
⇒ [1 x 1 x (8 + 6)] / 1 = [1 x 1 x (8 + 8 + x)] / 3/2
⇒ (3/2) x 14 = 16 + x
⇒ 21= 16 + x
∴ x = 21 – 16 = 5
According to the formula,
(M1D1T1) / W1 = (M2D2T2) / W2
⇒ [1 x 1 x (8 + 6)] / 1 = [1 x 1 x (8 + 8 + x)] / 3/2
⇒ (3/2) x 14 = 16 + x
⇒ 21= 16 + x
∴ x = 21 – 16 = 5
Most Upvoted Answer
In a cucumber factory, there are equal number of women and children. W...
Given information:
- Equal number of women and children in the cucumber factory.
- Women work for 8 hours a day and children for 6 hours a day.
- Workload increases by 50% during festival time.
- Government rule does not allow children to work for more than 8 hours a day.
- Women and children are equally efficient.
- Extra work is done by women.
To find: Extra hours of work put in by women every day
Solution:
Let the number of women and children be 'x', respectively.
Total work hours during normal days:
= (number of women) * (hours worked by each woman) + (number of children) * (hours worked by each child)
= x * 8 + x * 6
= 14x
Total work hours during festival time:
= 1.5 * total work hours during normal days [as workload increases by 50%]
= 1.5 * 14x
= 21x
But according to government rules, children cannot work for more than 8 hours a day. Therefore, the maximum number of hours that children can work during festival time is 8 hours.
So, the number of extra hours of work put in by women every day during festival time:
= Total work hours during festival time - Total work hours done by children during festival time
= 21x - (8x * 1.5) [as 1.5 times the number of children work extra hours]
= 21x - 12x
= 9x
Therefore, extra hours of work put in by women every day are 9x/ x = 9 hours.
Hence, the correct option is (a) 5.
- Equal number of women and children in the cucumber factory.
- Women work for 8 hours a day and children for 6 hours a day.
- Workload increases by 50% during festival time.
- Government rule does not allow children to work for more than 8 hours a day.
- Women and children are equally efficient.
- Extra work is done by women.
To find: Extra hours of work put in by women every day
Solution:
Let the number of women and children be 'x', respectively.
Total work hours during normal days:
= (number of women) * (hours worked by each woman) + (number of children) * (hours worked by each child)
= x * 8 + x * 6
= 14x
Total work hours during festival time:
= 1.5 * total work hours during normal days [as workload increases by 50%]
= 1.5 * 14x
= 21x
But according to government rules, children cannot work for more than 8 hours a day. Therefore, the maximum number of hours that children can work during festival time is 8 hours.
So, the number of extra hours of work put in by women every day during festival time:
= Total work hours during festival time - Total work hours done by children during festival time
= 21x - (8x * 1.5) [as 1.5 times the number of children work extra hours]
= 21x - 12x
= 9x
Therefore, extra hours of work put in by women every day are 9x/ x = 9 hours.
Hence, the correct option is (a) 5.
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In a cucumber factory, there are equal number of women and children. Women work for 8 h a day and children for 6 h a day. During festival time, the work load goes up by 50%. The government rule does not allow children to work for more than 8 h a day. If they are equally efficient and the extra work is done by women, then extra hours of work put in by women every day are?a)5b)3c)4d)9e)None of theseCorrect answer is option 'A'. Can you explain this answer?
Question Description
In a cucumber factory, there are equal number of women and children. Women work for 8 h a day and children for 6 h a day. During festival time, the work load goes up by 50%. The government rule does not allow children to work for more than 8 h a day. If they are equally efficient and the extra work is done by women, then extra hours of work put in by women every day are?a)5b)3c)4d)9e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In a cucumber factory, there are equal number of women and children. Women work for 8 h a day and children for 6 h a day. During festival time, the work load goes up by 50%. The government rule does not allow children to work for more than 8 h a day. If they are equally efficient and the extra work is done by women, then extra hours of work put in by women every day are?a)5b)3c)4d)9e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a cucumber factory, there are equal number of women and children. Women work for 8 h a day and children for 6 h a day. During festival time, the work load goes up by 50%. The government rule does not allow children to work for more than 8 h a day. If they are equally efficient and the extra work is done by women, then extra hours of work put in by women every day are?a)5b)3c)4d)9e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
In a cucumber factory, there are equal number of women and children. Women work for 8 h a day and children for 6 h a day. During festival time, the work load goes up by 50%. The government rule does not allow children to work for more than 8 h a day. If they are equally efficient and the extra work is done by women, then extra hours of work put in by women every day are?a)5b)3c)4d)9e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In a cucumber factory, there are equal number of women and children. Women work for 8 h a day and children for 6 h a day. During festival time, the work load goes up by 50%. The government rule does not allow children to work for more than 8 h a day. If they are equally efficient and the extra work is done by women, then extra hours of work put in by women every day are?a)5b)3c)4d)9e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a cucumber factory, there are equal number of women and children. Women work for 8 h a day and children for 6 h a day. During festival time, the work load goes up by 50%. The government rule does not allow children to work for more than 8 h a day. If they are equally efficient and the extra work is done by women, then extra hours of work put in by women every day are?a)5b)3c)4d)9e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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