(C) The work done by $A$ in $1 \, \text{day}$ is $1/12$ and by $B$ in $1 \, \text{day}$ is $1/15$.Together,their $1 \, \text{day}$ work is $(1/12 + 1/

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(C) The work done by $A$ in $1 \, \text{day}$ is $1/12$ and by $B$ in $1 \, \text{day}$ is $1/15$.Together,their $1 \, \text{day}$ work is $(1/12 + 1/15) = (5+4)/60 = 9/60 = 3/20$.They worked together for $4 \, \text{days}$,so the work completed is $4 \times (3/20) = 12/20 = 3/5$.The remaining work is $1 - 3/5 = 2/5$.$B$ completes the remaining work at a rate of $1/15$ per day.Time taken by $B$ to complete the remaining work $= (2/5) / (1/15) = (2/5) \times 15 = 6 \, \text{days}$.

Competitive Quantitative Aptitude Time and Work and Wages Time and Work

Easy

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

A
$20/3$
B
$25/3$
C
$6$
D
$5$

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Time and Work and Wages

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Time and Work

$A$ can lay railway track between two given stations in $16 \, days$ and $B$ can do the same job in $12 \, days$. With the help of $C$,they did the job in $4 \, days$ only. Then $C$ alone can do the job in (in $days$)

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$A$ can do a piece of work in $4 \, days$ and $B$ can do it in $12 \, days.$ In how many $days$ will they finish the work,both working together?

Medium

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$20$ men can complete a piece of work in $16$ days. After $5$ days from the start of the work,some men left. If the remaining work was completed by the remaining men in $18 \frac{1}{3}$ days,how many men left after $5$ days from the start of the work?

Easy

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$A$ and $B$ can complete a piece of work in $45$ and $40$ days respectively. Both started to work together,but after some days $A$ left and $B$ alone completed the remaining work in $23$ days. For how many days did $A$ work?

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$A$ can do a job in $6 \, days$ and $A$ and $B$ can do it together in $2 \, days.$ How many $days$ will be taken by $B$ to do the job alone?

Medium

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

Similar Questions

$A$ can lay railway track between two given stations in $16 \, days$ and $B$ can do the same job in $12 \, days$. With the help of $C$,they did the job in $4 \, days$ only. Then $C$ alone can do the job in (in $days$)

$A$ can do a piece of work in $4 \, days$ and $B$ can do it in $12 \, days.$ In how many $days$ will they finish the work,both working together?

$20$ men can complete a piece of work in $16$ days. After $5$ days from the start of the work,some men left. If the remaining work was completed by the remaining men in $18 \frac{1}{3}$ days,how many men left after $5$ days from the start of the work?

$A$ and $B$ can complete a piece of work in $45$ and $40$ days respectively. Both started to work together,but after some days $A$ left and $B$ alone completed the remaining work in $23$ days. For how many days did $A$ work?

$A$ can do a job in $6 \, days$ and $A$ and $B$ can do it together in $2 \, days.$ How many $days$ will be taken by $B$ to do the job alone?

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