Some carpenters promised to do a job in 9 day | vedclass

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(B) Let the original number of carpenters be $x$.Since the total work remains the same,we use the formula: $	ext{Number of men} 	imes 	ext{Time} =

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$20$

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(B) Let the original number of carpenters be $x$.Since the total work remains the same,we use the formula: $	ext{Number of men} 	imes 	ext{Time} = 	ext{Constant Work}$.According to the problem,$x$ carpenters can complete the work in $9$ days,so total work $= 9x$.If $5$ carpenters are absent,the number of remaining carpenters is $(x - 5)$,and they complete the work in $12$ days,so total work $= 12(x - 5)$.Equating the two expressions for total work:$9x = 12(x - 5)$$9x = 12x - 60$$60 = 12x - 9x$$60 = 3x$$x = 20$.Thus,the original number of carpenters was $20$.

Some carpenters promised to do a job in $9$ days,but $5$ of them were absent and the remaining men did the job in $12$ days. The original number of carpenters was:

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