(C) 's $23$ days of work $= \frac{23}{40}$.Remaining work $= 1 - \frac{23}{40} = \frac{17}{40}$.Now,$(A+B)$'s $1$ day of work $= \frac{1}{45} + \frac{

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(C) 's $23$ days of work $= \frac{23}{40}$.Remaining work $= 1 - \frac{23}{40} = \frac{17}{40}$.Now,$(A+B)$'s $1$ day of work $= \frac{1}{45} + \frac{1}{40} = \frac{8+9}{360} = \frac{17}{360}$.Since $\frac{17}{360}$ work is done by $A$ and $B$ in $1$ day,the time taken to complete $\frac{17}{40}$ work is $\frac{17}{40} \div \frac{17}{360} = \frac{17}{40} \times \frac{360}{17} = 9$ days.Therefore,$A$ left after $9$ days.

Competitive Quantitative Aptitude Time and Work and Wages Time and Work

Medium

$A$ 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?

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

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Time and Work and Wages

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Time and Work

$18$ women can complete a work in $12$ days and $12$ men can complete the same work in $9$ days. In how many days will $8$ men and $8$ women complete that work? (in days)

Medium

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$A$ can do a certain work in the same time in which $B$ and $C$ together can do it. If $A$ and $B$ together could do it in $10 \text{ days}$ and $C$ alone in $50 \text{ days}$,then $B$ alone could do it in (in $\text{days}$):

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$A, B$ and $C$ can complete a work in $2 \, h$. If $A$ does the job alone in $6 \, h$ and $B$ in $5 \, h$,how long will it take for $C$ to finish the job alone? (in $h$)

Easy

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$A$ group of men decided to do a work in $10 \, days,$ but five of them absented themselves. If the rest of the group finished the work in $12 \, days,$ find the original number of men? (in $men$)

Easy

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$A$ daily-wage labourer was engaged for a certain number of days for $Rs. 5,750$ but being absent on some days he was paid only $Rs. 5,000$. What was his maximum possible daily wage? (in $Rs.$)

Easy

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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?

Similar Questions

$18$ women can complete a work in $12$ days and $12$ men can complete the same work in $9$ days. In how many days will $8$ men and $8$ women complete that work? (in days)

$A$ can do a certain work in the same time in which $B$ and $C$ together can do it. If $A$ and $B$ together could do it in $10 \text{ days}$ and $C$ alone in $50 \text{ days}$,then $B$ alone could do it in (in $\text{days}$):

$A, B$ and $C$ can complete a work in $2 \, h$. If $A$ does the job alone in $6 \, h$ and $B$ in $5 \, h$,how long will it take for $C$ to finish the job alone? (in $h$)

$A$ group of men decided to do a work in $10 \, days,$ but five of them absented themselves. If the rest of the group finished the work in $12 \, days,$ find the original number of men? (in $men$)

$A$ daily-wage labourer was engaged for a certain number of days for $Rs. 5,750$ but being absent on some days he was paid only $Rs. 5,000$. What was his maximum possible daily wage? (in $Rs.$)

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