Time and Work Questions

$\text{C}$ and $\text{B}$ can do a work in $18\text{ days}$ and $24\text{ days}$ respectively. They worked together for $8\text{ days}$ and then $\text{C}$ left. In how many days did $\text{B}$ finish the remaining work?

$\text{A}$ and $\text{B}$ each can do a work in $75\text{ days}$. They began the work together but $\text{A}$ left after some time and $\text{B}$ completed the remaining work in $23\text{ days}$. After how many days of the start of the work did $\text{A}$ leave?

Abhay and Shreya can individually complete a piece of work in $42\text{ mins}$ and $70\text{ mins}$ respectively. Starting with Abhay, they work alternately for a minute each till the work is completed, with only the one working at the end being allowed to work for less than a minute in the final turn. How long will it take the duo to complete the work?

Raksha can complete a piece of work in $12\text{ days}$ while Esther takes $20\text{ days}$ to complete the work. They start working together but Raksha leaves $4\text{ days}$ before the work gets over. For how many days does Esther work?

A can do a certain job in $120\text{ days}$. B is $60\%$ more efficient than A. To do the same job, B alone would take how many days?

A takes $50\%$ more time to complete a work than B. If together they take $27\text{ days}$ to complete the work, how much time shall B take to do it alone?

A can complete a task in $8$ days while B can complete it in $12$ days. In how many days can C complete the task if all $3$ of them together can complete it in $3$ days?