Question
Download Solution PDFA man, a woman and a boy can complete a job in 3, 5 and 15 days, respectively. How many boys must assist 1 man and 1 woman to complete the job in \(\frac{1}{5}\) of a day?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFMan's 1-day work = 1/3
Woman's 1-day work = 1/5
Boy's 1-day work = 1/15
According to the question-
⇒ 1 × (1/3) + 1 × (1/5) + x × (1/15) = 1/(1/5)
{ ∵ x be the no. of boys needed}
⇒ x/15 = 5 - (1/3) - (1/5)
⇒ x/15 = (75 - 5 - 3)/15
⇒ x = 67
∴ 67 Boys are needed to complete the work.
Last updated on Jul 21, 2025
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