Time and Work

$A$ can do $\displaystyle \frac{1}{5}$th part of the work in $12$ days, $B$ can do $60\%$ of the work in $30$ days and $C$ can do $\displaystyle \frac{1}{3}$rd of the work in $15$ days, Who will complete the work first ?

Ten women can complete a piece of work in $15$ days. Six men can complete the same piece of work in $10$ days. In How many days can $5$ women and six men together complete the piece of work?

A and B can do a piece of work in 28 and 35 days respectively . They began to work together but A leaves after some time and B completed the remaining work in 17 days. After how much many days did A leave ?

If Ajit can do $\displaystyle \frac{1}{4}$ of the works in $3$ days and Sujit can do $\displaystyle \frac{1}{6}$ of the same work in $3$ days, how much will Ajit get if both work together and are paid Rs. $180$ in all?

8 men working for 9 hours a day can complete a piece of work in 20 days. In how many days can 7 men working for 10 hours a day complete the same piece of work?

A contractor undertakes to complete a road 360 m long in 120 days and employs 30 men for the work. After 60 days he finds that only 120 m length of the road has been made . How many more men should he emply so that the work many be complete in time ?

$75$ boys do a piece of work in $24$ days, How many men will finish double the work in $20$ days when one day's work of $2$ men is equal to one days work of $3$ boys ?

A contractor undertook to complete a project in 90 days and employed 60 men on it. After 60 days, he found that $\displaystyle \frac{3}{4}$ of the work has already been completed. How many men can he discharge so that the project may be completed on time ?

24 men can complete a piece of work in 16 days and 18 women can complete the same work in 32 days. 12 men and 6 women work together for 16 days. If the remaining work was to be completed in 2 days, how many additional men would be required besides 12 men and 6 women ?

$A$ 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 it in

$A$ does half as much work as $B$ and $C$ does half as much work as $A$ and $B$ together in the same time. If $C$ alone can do the work in $40$ days, all of them together will finish the work in

Two workers A and B working together completed a job in $ 5$ days. If A worked twice as efficiently as he actually did and B worked $\displaystyle \frac{1}{3}$ as efficiently as he actually did the work would have been completed in $3$ days. A alone could complete the work in

$A$ does $\displaystyle \frac{4}{5}$th of work in $20$ days. He then calls in $B$ and they together finish the remaining work in $3$ days. How long $B$ alone would take to do the whole work ?

A man a woman and a boy can complete a job in $3, 4$ and $12$ days respectively. How many boys must assist 1 man and 1 woman to complete the job in $\displaystyle \frac{1}{4}$ of a day?