(C) Work done by $A$ in $1$ day $= \frac{1}{45}$.Work done by $B$ in $1$ day $= \frac{1}{40}$.Let $A$ work for $x$ days. Both $A$ and $B$ worked toget

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(C) Work done by $A$ in $1$ day $= \frac{1}{45}$.Work done by $B$ in $1$ day $= \frac{1}{40}$.Let $A$ work for $x$ days. Both $A$ and $B$ worked together for $x$ days.$B$ worked alone for $23$ days.Total work done $= 1$.Equation: $x \left( \frac{1}{45} + \frac{1}{40} \right) + 23 \left( \frac{1}{40} \right) = 1$.$x \left( \frac{8 + 9}{360} \right) + \frac{23}{40} = 1$.$x \left( \frac{17}{360} \right) = 1 - \frac{23}{40} = \frac{17}{40}$.$x = \frac{17}{40} \times \frac{360}{17} = 9$ days.Thus,$A$ left the work after $9$ days.

Competitive Quantitative Aptitude Time and Work and Wages Time and Work

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$A$ and $B$ can do a piece of work in $45$ days and $40$ days respectively. They began to do the work together,but $A$ leaves after some days and then $B$ completed the remaining work in $23$ days. The number of days after which $A$ left the work was:

A
$6$
B
$8$
C
$9$
D
$12$

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Time and Work and Wages

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Time and Work

Ram and Hari can cut $12 \, kg$ of nuts in $2 \, days$. After $5 \, days$, Hari left the work. Ram took $8$ more days to cut the rest of the nuts. If a total of $58 \, kg$ of nuts were cut, the time taken by Hari to cut $10 \, kg$ of nuts is (in days):

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$P$ can complete a work in $12$ days working $8$ hours a day. $Q$ can complete the same work in $8$ days working $10$ hours a day. If both $P$ and $Q$ work together,working $8$ hours a day,in how many days can they complete the work?

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$A$ and $B$ can together finish a work in $30$ days. They worked at it for $20$ days and then $B$ left. The remaining work was done by $A$ alone in $20$ more days. $A$ alone can finish the work in (in days):

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$A$ and $B$ can complete a piece of work in $45$ and $40$ days,respectively. They began the work together,but $A$ leaves after some days and $B$ completed the remaining work in $23$ days. After how many days did $A$ leave?

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If $6$ men and $8$ boys can do a piece of work in $10$ $days$ while $26$ men and $48$ boys can do the same in $2$ $days,$ the time taken by $15$ men and $20$ boys in doing the same type of work will be (in $days$)

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$A$ and $B$ can do a piece of work in $45$ days and $40$ days respectively. They began to do the work together,but $A$ leaves after some days and then $B$ completed the remaining work in $23$ days. The number of days after which $A$ left the work was:

Similar Questions

Ram and Hari can cut $12 \, kg$ of nuts in $2 \, days$. After $5 \, days$, Hari left the work. Ram took $8$ more days to cut the rest of the nuts. If a total of $58 \, kg$ of nuts were cut, the time taken by Hari to cut $10 \, kg$ of nuts is (in days):

$P$ can complete a work in $12$ days working $8$ hours a day. $Q$ can complete the same work in $8$ days working $10$ hours a day. If both $P$ and $Q$ work together,working $8$ hours a day,in how many days can they complete the work?

$A$ and $B$ can together finish a work in $30$ days. They worked at it for $20$ days and then $B$ left. The remaining work was done by $A$ alone in $20$ more days. $A$ alone can finish the work in (in days):

$A$ and $B$ can complete a piece of work in $45$ and $40$ days,respectively. They began the work together,but $A$ leaves after some days and $B$ completed the remaining work in $23$ days. After how many days did $A$ leave?

If $6$ men and $8$ boys can do a piece of work in $10$ $days$ while $26$ men and $48$ boys can do the same in $2$ $days,$ the time taken by $15$ men and $20$ boys in doing the same type of work will be (in $days$)

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