5. A man can do a piece of work in 54 days, but with the help of his son it can
done in 3 days. In what time can the son do it alone?
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Answered by
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Correct Question :
- A man can do a piece of work in 5 days, but with the help of his son it can done in 3 days. In what time can the son do it alone?
Given :
- A man can do a piece of work in 5 days
- With the help of his son it can done in 3 days
To Find :
- In what time can the son do it alone
Solution :
Work done by man = 5 days
- In a day = 1/5
Work done by his son = x
- In a day = 1/x
Work done together = 3 days
- In a day = 1/3
Work done Together = 1/5 + 1/x
⟹ 1/3 = 1/5 + 1/x
⟹ 1/x = 1/5 - 1/3
⟹ 1/x = 2/15
⟹ x = 1/7.5
∴ Son can do it in 7.5 days.
Answered by
4
Given :
- A man can do a piece of work in 5 days
- With the help of his son it can done in 3 days
To Find :
- In what time can the son do it alone
Solution :
Work done by man = 5 days
In a day = 1/5
Work done by his son = x
In a day = 1/x
Work done together = 3 days
In a day = 1/3
Work done Together = 1/5 + 1/x
⟹ 1/3 = 1/5 + 1/x
⟹ 1/x = 1/5 - 1/3
⟹ 1/x = 2/15
⟹ x = 1/7.5
∴ Son can do it in 7.5 days.
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