Time and Work

A and B can do work in $12 \mathrm{days}$, B and C in $15 \mathrm{days}$, and C and A in $20 \mathrm{days}$. They all work together for $6 \mathrm{days}$ and then A left.In how many more days can B and C finish the remaining work?

$x, y$ and $z$ can do a work in $20, 25$ and $30 \mathrm{days}$ respectively. They undertook to finish the work together for $₹ 2220$. The share of $x$ exceeds that of $y$ by -

X can do a piece of work in $20$ days and Y can do the same work in $30$ days. They finished the work with the help of Z in $8$ days. If they earned a total of Rs. $5550$, then what is the share of Z?

$A,B$ and $C$ can do a piece of work individually in $8,12$ and $15 \mathrm{days}$ respectively. $A$and $B$ start working together but $A$ quits after working for $2 \mathrm{days}$. After this, $C$ joins and works till completion of the work. In how many days will the work be completed?

A is thrice as good a workman as B and A is therefore able to finish a piece of work in 60 days less than B. Find the time in which they can do it, working together.

A can do $\frac{7}{8}$ of work in$28 \mathrm{days}$, B can do $\frac{5}{6}$ of the same work in $20 \mathrm{days}$. The number of days they will take to complete if they do it together is _____.

A takes $5$ days more than B to do a certain job and $9$ days more than C; A and B together can do the job in the same time as C. How many days A would take to do it ?

$15$ men or $24$ women or $36$ boys can do a piece of work in $12 \mathrm{days}$, working $8 \mathrm{hours}$ a day, how many men must be associated with $12$ women and $6$ boys to do another piece of work $2\frac{1}{4}$ times as great in $30 \mathrm{days}$ working $6 \mathrm{hours}$ a day?

Ram completes $60\%$ of a task in 15 days and then takes the help of Rahim and Rachel. Rahim is $50\%$as efficient as Ram is and Rachel is $50\%$ as efficient as Rahim is. In how many more days will they complete the work?

A is thrice as efficient as B and hence completes a work in $40 \mathrm{days}$ less than the number of days taken by B. What will be the number of days taken by both of them when working together?

If $6$ men and $8$ boys can do a piece of work in $10 \mathrm{days}$ while $26$ men and $48$ boys can do the same in $2 \mathrm{days}$, what is the time taken by $15$ men and $20$ boys in doing the same type of work?

$A$ and $B$ together can do a piece of work in $18$ days, $B$ and $C$ in $24$ days, and $A$ and $C$ in $36$ days. The number of days, all of them working together take to complete the work, is

$3$ men and $5$ women together can complete a work in $6 \mathrm{days}$, whereas $4$ men and $9$ women together can do it in $4 \mathrm{days}$. How many women are required to do the same work in $7 \mathrm{days}$?

$A$ and $B$ can do a piece of work in $36 \mathrm{days}$, $B$ and $C$ can do the same work in $60 \mathrm{days}$. $A$ and $C$ do the same work in $45 \mathrm{days}$. In how many days $B$ alone complete the same work?

 A is twice as efficient as B and C is thrice as efficient as B. Working together, they can finish a certain work in$5 \mathrm{days}$. A and C worked together for$5 \mathrm{days}$. B alone would complete the remaining work in ______.

$A$ and $B$ can do a job in $10 \mathrm{days}$ and $5 \mathrm{days}$, respectively. They worked together for two days, after which $B$ was replaced by $C$ and the work was finished in the next three days. How long will $C$ alone take to finish $40\%$ of the job?

$A$ is twice as good a workman as $B$, and together they finish a piece of work in $13 \mathrm{days}$. In how many days will $A$ alone finish the work?

Two pipes A and B can fill a tank in $12 \mathrm{hours}$ and $18 \mathrm{hours}$, respectively. Both pipes are opened simultaneously. In how much time will the empty tank be filled completely?

If $45$ persons can complete a work in $18 \mathrm{days}$, working$8 \mathrm{hours} \mathrm{a} \mathrm{day}$, then how many persons are required to complete $\mathrm{two}-\mathrm{thirds}$ of the same work in $20 \mathrm{days}$, working$9 \mathrm{hours} \mathrm{a} \mathrm{day}$ ?

$\mathrm{A}$ can finish $\frac{1}{3}$ of a work in $5 \mathrm{days}$, $\mathrm{B}$ can finish $\frac{2}{5}$ of the same work in $10 \mathrm{days}$ and $\mathrm{C}$ can finish $75\%$ of the same work in $15 \mathrm{days}$. They work together for $6 \mathrm{days}$. The remaining work will be finished by $\mathrm{B}$ alone in _____.