Questions Based on Time and Work

$\mathrm{A}$ and $\mathrm{B}$ can do a piece of work in $30$days while $\mathrm{B}$ and $\mathrm{C}$ can do the same work in $24$ days and $\mathbf{C}$ and $\mathrm{A}$ in $\mathbf{20}\mathbf{ }$days. They all work for $10$days and then $\mathrm{B}$ and $\mathrm{C}$ leave. How many days more will $\mathrm{A}$ take to finish the work?

$\mathrm{A}$ and $\mathrm{B}$ can do a piece of work in $18$ days, $\mathrm{B}$ and $\mathrm{C}$ can do it in $24$ days, $\mathrm{A}$ and $\mathrm{C}$ can do it in $36$ days. In how many days $\mathrm{B}$ alone can finish the work?

$\mathrm{A},\mathrm{B}$ and $\mathrm{C}$ can do a piece of work in $20$days, $30$ days and $60$ days, respectively. In how many days can all working together finish the work if A works daily, but $\mathrm{B}$and $\mathrm{C}$ assist on every third day?

$\mathrm{A}$ does $\frac{1}{2}$ as much as $\mathrm{B},$ and $\mathrm{C}$does $\frac{1}{2}$ as much work as $\mathrm{A}$ and $\mathrm{B}$ together. If $\mathrm{C}$ alone can finish the work in $40$ days, then together all will finish the work in:

$\mathrm{A}$ can do $\frac{1}{2}$ of a piece of work in $8$days while $\mathrm{B}$ can do $\frac{1}{3}$ of the same work in $8$days. In how many days can both do it together?

$12$men can finish a project in $20$ days. $18$women can finish the same project in $16$days and $24$children can finish it in $18$days. $8$women and $16$children worked for $9$days and then left. In how many days will $10$ men complete the remaining project?

$\mathrm{A},\mathrm{B}$ and $\mathrm{C}$ can do a work in $6,8$ and $12$ days respectively. If they do the work together and earn $₹2700,$ what is the share of $\mathrm{C}$ in that amount?

A can complete a piece of work in $10$ days, $\mathrm{B}$ in $15$ days and $\mathrm{C}$ in $20$ days. $\mathrm{A}$ and $\mathrm{C}$ worked together for $2$ days and then $\mathrm{A}$ was replaced by$\mathrm{B}.$ In how many days, altogether was the work completed ?

If $1$ man or $2$ women or $3$ boys can do a piece of work in $44$ days, $1$ man, $1$ woman and $1$ boy, working together, can do it in

A given amount is the $21$ days wages of $\mathrm{A}$ and $28$ days wages of $\mathrm{B}.$ This amount is the wages for how many days for $\mathrm{A}$ and $\mathrm{B} ?$

$\mathrm{A}, \mathrm{B}, \mathrm{C}$ can do a piece of work in $20$ days, $30$ days and $60$ days respectively. If $\mathrm{A}$ works continuously and on every third day $\mathrm{B}$ and $\mathrm{C}$ also work with $\mathrm{A},$ then in how many days, the work will be completed ?

$\mathrm{A}, \mathrm{B}, \mathrm{C}$ can do a piece of work in $11$ days, $20$ days and $55$ days respectively. If $\mathrm{B}$ works with $\mathrm{A}$ on one day and with $\mathrm{C}$ on the other day alternately, then in how many days the work will be finished ?

A man and a boy together worked for $5$ days and were paid $\mathrm{Rs}.800$ as its labour. If the man works thrice as much as a boy in the same time, what are the daily wages of the boy ?

$\mathrm{A}$ and $\mathrm{B},$ working separately can do a piece of work in $20$ days and $30$ days respectively. For some days, they worked together and then $\mathrm{B}$ left the work. If the remaining work was finished by $\mathrm{A}$ in $10$ days, for how many days did $\mathrm{B}$ work?

Working $7$ hours per day, $\mathrm{A}$ alone can do a piece of work in $6$ days and $\mathrm{B}$ alone can do it in $8$ days. Working $8$ hours per day, how much time both will take to finish the work?

If $28$ men can complete $\frac{7}{8}$ of a work in a week, then how many men can complete the remaining work in next week?

$16$ men can finish a piece of work in $8$ days while $20$ women can do it in $16$ days. $12$ men and $10$ women work at it continuously for $6$ days. In how many days can $10$ women finish the remaining work ?

$10$ women can finish a piece of work in $8$ days while $10$ children can do it in $12$ days. In how many days can $6$ women and $3$ children do it?

$6$ men and $8$ boys can do a piece of work in $10$ days; $26$ men and $48$ boys can do it in $2$ days. In how many days can $15$ men and $20$ boys do it ?

One man or $2$ women or $3$ boys can finish a piece of work in $55$ days. In how many days can $1$ man, $1$ woman and $1$ child finish the work, all working together ?