A certain number of persons can complete a pi | vedclass

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Question

(B) Let the original number of persons be $x$.According to the problem,the total work remains constant.Work done = $	ext{Number of persons} 	imes

Vedclass · Accepted Answer

$24$

Vedclass · Answer

(B) Let the original number of persons be $x$.According to the problem,the total work remains constant.Work done = $	ext{Number of persons} 	imes 	ext{Time taken}$.Original work = $x 	imes 55$.If there were $6$ more persons,the number of persons becomes $(x + 6)$ and the time taken is $(55 - 11) = 44 	ext{ days}$.Equating the work: $55x = 44(x + 6)$.Dividing both sides by $11$: $5x = 4(x + 6)$.Expanding the equation: $5x = 4x + 24$.Subtracting $4x$ from both sides: $x = 24$.Therefore,the original number of persons was $24$.

$A$ certain number of persons can complete a piece of work in $55 \text{ days}$. If there were $6$ persons more,the work could be finished in $11 \text{ days}$ less. How many persons were originally there?

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