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(B) The formula for work completion is $\frac{M_1 	imes D_1}{W_1} = \frac{M_2 	imes D_2}{W_2}$.Given:$M_1 = 20$,$D_1 = 10 	ext{ days}$,$W_1 = \frac

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$20$

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(B) The formula for work completion is $\frac{M_1 	imes D_1}{W_1} = \frac{M_2 	imes D_2}{W_2}$.Given:$M_1 = 20$,$D_1 = 10 	ext{ days}$,$W_1 = \frac{1}{4}$ of the work.Remaining work $W_2 = 1 - \frac{1}{4} = \frac{3}{4}$.Remaining time $D_2 = 40 - 10 = 30 	ext{ days}$.Let the total number of persons required for the remaining work be $M_2$.Substituting the values:$\frac{20 	imes 10}{1/4} = \frac{M_2 	imes 30}{3/4}$$800 = \frac{M_2 	imes 30 	imes 4}{3}$$800 = M_2 	imes 40$$M_2 = 20$.Since $20$ persons are required in total for the remaining work and he already had $20$ persons (who left),the number of additional persons needed is $20 - 20 = 0$. However,checking the calculation: $\frac{200}{1/4} = 800$. $\frac{M_2 	imes 30}{3/4} = M_2 	imes 40$. Thus $M_2 = 20$. The question asks for the number of persons to employ to finish the remaining part. If $20$ are needed and none are currently working,he must employ $20$ persons.

$A$ contractor has the target of completing a work in $40 \text{ days}$. He employed $20$ persons who completed $\frac{1}{4}$ of the work in $10 \text{ days}$ and left. The number of additional persons he has to employ to finish the remaining part of the work as per the target is:

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