(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

$A$ and $B$ undertook to do a piece of work for $Rs. 4500$. $A$ alone could do it in $8$ days and $B$ alone in $12$ days. With the assistance of $C$,they finished the work in $4$ days. Then,$C$'s share of the money is (in $Rs.$)

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$A$ completes a piece of work in $4 \text{ days}$ and $B$ completes it in $6 \text{ days}$. If they both work on it together,then the number of days required to complete the same work is (in $\text{days}$):

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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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Five men and $2$ boys,working together,can complete four times as much work per hour as a man and a boy working together. The ratio of the work completed by a man and a boy is:

Easy

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$A$ certain number of men complete a work in $160\, days$. If there were $38\, men$ more, the work could be finished in $20\, days$ less. How many men were originally there?

Easy

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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

$A$ and $B$ undertook to do a piece of work for $Rs. 4500$. $A$ alone could do it in $8$ days and $B$ alone in $12$ days. With the assistance of $C$,they finished the work in $4$ days. Then,$C$'s share of the money is (in $Rs.$)

$A$ completes a piece of work in $4 \text{ days}$ and $B$ completes it in $6 \text{ days}$. If they both work on it together,then the number of days required to complete the same work is (in $\text{days}$):

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?

Five men and $2$ boys,working together,can complete four times as much work per hour as a man and a boy working together. The ratio of the work completed by a man and a boy is:

$A$ certain number of men complete a work in $160\, days$. If there were $38\, men$ more, the work could be finished in $20\, days$ less. How many men were originally there?

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