(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

$A$ can do a piece of work in $4\, h$,$B$ and $C$ can do it in $3\, h$,and $A$ and $C$ can do it in $2\, h$. How long will $B$ alone take to do it? (in $h$)

Medium

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$A$ work can be completed by $P$ and $Q$ in $12$ days,$Q$ and $R$ in $15$ days,and $R$ and $P$ in $20$ days. In how many days can $P$ alone finish the work?

Difficult

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$A$ and $B$ complete a job in $12 \text{ days}$,while $A, B$,and $C$ can complete it in $8 \text{ days}$. $C$ alone will finish the job in (in $\text{days}$):

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 $B$ together can do a piece of work in $9$ days. If $A$ does thrice the work of $B$ in a given time,the time $A$ alone will take to finish the work is (in days)

Easy

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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

$A$ can do a piece of work in $4\, h$,$B$ and $C$ can do it in $3\, h$,and $A$ and $C$ can do it in $2\, h$. How long will $B$ alone take to do it? (in $h$)

$A$ work can be completed by $P$ and $Q$ in $12$ days,$Q$ and $R$ in $15$ days,and $R$ and $P$ in $20$ days. In how many days can $P$ alone finish the work?

$A$ and $B$ complete a job in $12 \text{ days}$,while $A, B$,and $C$ can complete it in $8 \text{ days}$. $C$ alone will finish the job in (in $\text{days}$):

$A$ 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 $B$ together can do a piece of work in $9$ days. If $A$ does thrice the work of $B$ in a given time,the time $A$ alone will take to finish the work is (in days)

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