(A) We use the formula: $\frac{M_{1} \times D_{1} \times t_{1}}{W_{1}} = \frac{M_{2} \times D_{2} \times t_{2}}{W_{2}}$Given:$M_{1} = 24, D_{1} = 27,

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(A) We use the formula: $\frac{M_{1} \times D_{1} \times t_{1}}{W_{1}} = \frac{M_{2} \times D_{2} \times t_{2}}{W_{2}}$Given:$M_{1} = 24, D_{1} = 27, t_{1} = 7, W_{1} = 1$$M_{2} = 14, D_{2} = ?, t_{2} = 9, W_{2} = 1$Substituting the values:$24 \times 27 \times 7 = 14 \times D_{2} \times 9$$D_{2} = \frac{24 \times 27 \times 7}{14 \times 9}$$D_{2} = \frac{24 \times 3 \times 7}{14}$$D_{2} = \frac{24 \times 3}{2} = 12 \times 3 = 36$Therefore,$14$ men will complete the work in $36$ $\text{days}$.

Competitive Quantitative Aptitude Time and Work and Wages Time and Work

Medium

Working $7\, \text{hours}$ daily,$24$ men can complete a piece of work in $27$ $\text{days}$. In how many $\text{days}$ would $14$ men complete the same piece of work working $9\, \text{hours}$ daily?

A
$36$
B
$30$
C
$32$
D
None of these

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Time and Work and Wages

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Time and Work

$10$ 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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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?

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Shashi can do a piece of work in $20$ days. Tanya is $25\%$ more efficient than Shashi. The number of days taken by Tanya to do the same piece of work is

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$7$ men can complete a piece of work in $12$ days. How many additional men will be required to complete double the work in $8$ days?

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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 $days$):

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Working $7\, \text{hours}$ daily,$24$ men can complete a piece of work in $27$ $\text{days}$. In how many $\text{days}$ would $14$ men complete the same piece of work working $9\, \text{hours}$ daily?

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