A can do a piece of work in 14 days,which B c | vedclass

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Question

(C) Work done by $A$ in $1$ day $= \frac{1}{14}$.Work done by $B$ in $1$ day $= \frac{1}{21}$.Let the total number of days to complete the work be $x$

Vedclass · Accepted Answer

$10 \frac{1}{5}$

Vedclass · Answer

(C) Work done by $A$ in $1$ day $= \frac{1}{14}$.Work done by $B$ in $1$ day $= \frac{1}{21}$.Let the total number of days to complete the work be $x$.Since $A$ leaves $3$ days before completion,$A$ worked for $(x-3)$ days and $B$ worked for $x$ days.The total work done is $1$:$(x-3) 	imes \frac{1}{14} + x 	imes \frac{1}{21} = 1$.Taking the $LCM$ of $14$ and $21$,which is $42$:$\frac{3(x-3) + 2x}{42} = 1$.$3x - 9 + 2x = 42$.$5x = 51$.$x = \frac{51}{5} = 10 \frac{1}{5}$ days.

$A$ can do a piece of work in $14$ days,which $B$ can do in $21$ days. They begin together,but $3$ days before the completion of the work,$A$ leaves. The total number of days to complete the work is:

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