(C) The $1$ day work of $B$ and $C$ is $\frac{1}{9} + \frac{1}{12} = \frac{4+3}{36} = \frac{7}{36}$.The work done by $B$ and $C$ in $3$ days is $3 \ti

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(C) The $1$ day work of $B$ and $C$ is $\frac{1}{9} + \frac{1}{12} = \frac{4+3}{36} = \frac{7}{36}$.The work done by $B$ and $C$ in $3$ days is $3 \times \frac{7}{36} = \frac{21}{36} = \frac{7}{12}$.The remaining work is $1 - \frac{7}{12} = \frac{5}{12}$.Since $A$ can finish the whole work in $24$ days,$A$'s $1$ day work is $\frac{1}{24}$.The time taken by $A$ to complete the remaining work is $\frac{5/12}{1/24} = \frac{5}{12} \times 24 = 10$ days.

Competitive Quantitative Aptitude Time and Work and Wages Time and Work

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$A$ can finish a work in $24$ days,$B$ in $9$ days,and $C$ in $12$ days. $B$ and $C$ start the work but are forced to leave after $3$ days. The remaining work was done by $A$ in (in days):

A
$5$
B
$6$
C
$10$
D
$10\frac{1}{2}$

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Quantitative Aptitude Questions

Chapter

Time and Work and Wages

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Time and Work

$A$ can do a job in $6 \, days$ and $A$ and $B$ can do it together in $2 \, days.$ How many $days$ will be taken by $B$ to do the job alone?

Medium

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Some staff promised to do a job in $18 \, days,$ but $6$ of them went on leave. So,the remaining men took $20 \, days$ to complete the job. How many men were there originally?

Medium

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$A$ takes $10\, \text{days}$ less than the time taken by $B$ to finish a piece of work. If both $A$ and $B$ can do it in $12\, \text{days}$, then the time taken by $B$ alone to finish the work is (in $\text{days}$)

Medium

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If $4$ men or $8$ women can do a piece of work in $15$ days,in how many days can $6$ men and $12$ women do the same piece of work?

Medium

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$A, B$ and $C$ completed a work costing $Rs. 1800$. $A$ worked for $6$ days,$B$ for $4$ days and $C$ for $9$ days. If their daily wages are in the ratio of $5: 6: 4$,how much amount will be received by $A$ (in $Rs.$)?

Medium

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$A$ can finish a work in $24$ days,$B$ in $9$ days,and $C$ in $12$ days. $B$ and $C$ start the work but are forced to leave after $3$ days. The remaining work was done by $A$ in (in days):

Similar Questions

$A$ can do a job in $6 \, days$ and $A$ and $B$ can do it together in $2 \, days.$ How many $days$ will be taken by $B$ to do the job alone?

Some staff promised to do a job in $18 \, days,$ but $6$ of them went on leave. So,the remaining men took $20 \, days$ to complete the job. How many men were there originally?

$A$ takes $10\, \text{days}$ less than the time taken by $B$ to finish a piece of work. If both $A$ and $B$ can do it in $12\, \text{days}$, then the time taken by $B$ alone to finish the work is (in $\text{days}$)

If $4$ men or $8$ women can do a piece of work in $15$ days,in how many days can $6$ men and $12$ women do the same piece of work?

$A, B$ and $C$ completed a work costing $Rs. 1800$. $A$ worked for $6$ days,$B$ for $4$ days and $C$ for $9$ days. If their daily wages are in the ratio of $5: 6: 4$,how much amount will be received by $A$ (in $Rs.$)?

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