(C) Work done by $10$ men in $1$ day $= \frac{1}{15}$ of the total work.Work done by $15$ women in $1$ day $= \frac{1}{12}$ of the total work.When $10

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(C) Work done by $10$ men in $1$ day $= \frac{1}{15}$ of the total work.Work done by $15$ women in $1$ day $= \frac{1}{12}$ of the total work.When $10$ men and $15$ women work together,the work done in $1$ day is $\frac{1}{15} + \frac{1}{12}$.Calculating the sum: $\frac{4 + 5}{60} = \frac{9}{60} = \frac{3}{20}$ of the work per day.Therefore,the total number of days required to complete the work is the reciprocal of the work done per day.Days $= \frac{20}{3} = 6\frac{2}{3}$ days.

Competitive Quantitative Aptitude Time and Work and Wages Time and Work

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$10$ men can complete a piece of work in $15$ days and $15$ women can complete the same work in $12$ days. If all the $10$ men and $15$ women work together,in how many days will the work get completed?

A
$6$
B
$6\frac{1}{3}$
C
$6\frac{2}{3}$
D
$7\frac{2}{3}$

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Time and Work and Wages

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Time and Work

$10$ women can complete a work in $7$ days and $10$ children take $14$ days to complete the work. How many days will $5$ women and $10$ children take to complete the work?

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$P$ can do a piece of work in $9$ days. $Q$ is $50\%$ more efficient than $P$. The number of days it takes for $Q$ to do the same piece of work is

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$A, B$ and $C$ can do a job in $6$ days,$12$ days and $15$ days,respectively. After $\frac{1}{8}$ of the work is completed,$C$ leaves the job. The rest of the work is done by $A$ and $B$ together. The total time taken to finish the work is (in days):

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$10$ men can finish a piece of work in $10$ days,whereas it takes $12$ women to finish it in $10$ days. If $15$ men and $6$ women undertake to complete the work,how many days will they take to complete it?

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$A$ can do a piece of work in $15 \text{ days}$. With the help of $A$,$B$ can do it in $6 \frac{2}{3} \text{ days}$. $B$ can do it alone in (in $\text{days}$)

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$10$ men can complete a piece of work in $15$ days and $15$ women can complete the same work in $12$ days. If all the $10$ men and $15$ women work together,in how many days will the work get completed?

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