(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

$A$ can do a work in $15\, days$ and $B$ in $20\, days.$ If they work on it together for $4\, days,$ then the fraction of the work that is left is

Easy

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$A$ does $\frac{2}{5}$ of a work in $9$ days. Then $B$ joined him and they together completed the remaining work in $6$ days. $B$ alone can finish the whole work in (in days):

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$A$ and $B$ working separately can do a piece of work in $10 \text{ days}$ and $15 \text{ days}$ respectively. If they work on alternate days beginning with $A$,in how many days will the work be completed?

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If $10$ men or $20$ boys can make $260$ shirts in $20$ days,then how many shirts will be made by $8$ men and $4$ boys in $20$ days?

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$A$ does half as much work as $B$ in $\frac{3}{4}$ of the time. If together they take $18 \text{ days}$ to complete a work,how much time shall $B$ take to do it alone? (in $\text{days}$)

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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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