(C) $1$ day's work of $A = \frac{1}{12}$.$1$ day's work of $B = \frac{1}{15}$.Work done by $A$ and $B$ together in $4$ days $= 4 \times (\frac{1}{12}

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(C) $1$ day's work of $A = \frac{1}{12}$.$1$ day's work of $B = \frac{1}{15}$.Work done by $A$ and $B$ together in $4$ days $= 4 \times (\frac{1}{12} + \frac{1}{15}) = 4 \times (\frac{5+4}{60}) = 4 \times \frac{9}{60} = \frac{3}{5}$.Remaining work $= 1 - \frac{3}{5} = \frac{2}{5}$.Time taken by $B$ to complete the remaining work $= \frac{2}{5} \times 15 = 6$ days.

Competitive Quantitative Aptitude Time and Work and Wages Time and Work

Medium

$A$ and $B$ can do a piece of work in $12$ days and $15$ days,respectively. They began to work together,but $A$ left after $4$ days. In how many more days would $B$ alone complete the remaining work?

A
$\frac{20}{3}$
B
$\frac{25}{3}$
C
$6$
D
$5$

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Time and Work and Wages

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Time and Work

If $8$ men or $10$ women can do a piece of work in $50$ days,in what time will $28$ men and $15$ women do it? (in days)

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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 $10$ days and $C$ alone in $50$ days,then $B$ alone could do the work in (in days)

Medium

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$A$ track of $100\, m$ can be built by $7\, men$ or $10\, women$ in $70\, days.$ How many days will $14\, men$ and $20\, women$ take to build a track of $600\, m$?

Difficult

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$A$ and $B$ can together complete a task in $18$ hours. After $6$ hours, $A$ leaves. $B$ takes $36$ hours to finish the rest of the task. How many hours would $A$ have taken to do the task if he worked alone?

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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$A$ and $B$ can do a piece of work in $12$ days and $15$ days,respectively. They began to work together,but $A$ left after $4$ days. In how many more days would $B$ alone complete the remaining work?

Similar Questions

If $8$ men or $10$ women can do a piece of work in $50$ days,in what time will $28$ men and $15$ women do it? (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 $10$ days and $C$ alone in $50$ days,then $B$ alone could do the work in (in days)

$A$ track of $100\, m$ can be built by $7\, men$ or $10\, women$ in $70\, days.$ How many days will $14\, men$ and $20\, women$ take to build a track of $600\, m$?

$A$ and $B$ can together complete a task in $18$ hours. After $6$ hours, $A$ leaves. $B$ takes $36$ hours to finish the rest of the task. How many hours would $A$ have taken to do the task if he worked alone?

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?

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