Question
Download Solution PDFA man can do a piece of work in 5 days, but with the help of his son, he can do it in 3 days. In what time can the son do it alone ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula Used:
1. Work done by man in 1 day: M = 1/5
2. Work done by man and son together in 1 day: M + S = 1/3
Calculation:
We have,
⇒ M + S = 1/3
Substitute M = 1/5 into the equation:
⇒ 1/5 + S = 1/3
⇒ S = 1/3 - 1/5
⇒ S = (5 - 3) / 15
⇒ S = 2/15
Time taken by the son to complete the work alone is the reciprocal of S:
⇒ Time taken by son = 1 / (2/15)
⇒ Time taken by son = 15 / 2
⇒ Time taken by son = 7.5 days
∴ The correct answer is option 3: 7 and 1/2 days.
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