Time And Work Questions

$A$ can complete $\frac{2}{3}$ of a work in $8$ days. $B$ can complete $\frac{3}{5}$ of the same work in $12$ days and $C$ can complete $\frac{4}{9}$ of the same work in $8$ days. If $A$ and $B$ worked together for $5$ days, then find how much time (in days) will $C$ alone take to complete the remaining work?

At a construction site, 15 men or 10 machines can construct a room in 66 days. In how many days can 5 men and 4 machines together complete the work?

A garrison of 140 men has provisions for 35 days. At the end of 10 days, 35 more men joined them. How many days can they sustain on the remaining provisions?

If 108 workers can build a wall in 36 days, then in how many days can 48 workers build the same wall?

Anu and Siri together can complete a piece of work in $20\text{ days}$. Anu alone can complete it in $40\text{ days}$. In how many days can Siri alone complete the work?

A and B can do a work in 15 days and 30 days, respectively. They start working together, but A leaves after 3 days. How much time will B take to complete the remaining work?

Eight labourers working 10 hours a day completed a work in 18 days. If only 5 labourers are working, then in how many hours a day should they work to finish the work in 24 days?

A can do a certain job in 12 days. B is 60% more efficient than A. To do the same job B alone would take:

A frog was at the bottom of an 80m deep well. It attempted to come out of it by jumping. In each jump, it covered 1.15m but slipped down by 0.75m. The number of jumps after which it would be out of the well is:

If 12 men or 20 women can do a work in 54 days, then in how many days can 9 men and 12 women together do the work?

A and B working together can complete a job in 30 days. The ratio of their efficiencies is 3:2. In how many days can the faster person complete the job?

By working 12 hours a day, 90 people can complete a work in 16 days. How much work will be left after 24 days if 70 people work for 8 hours per day?

The ratio of efficiencies of $A$ and $B$ for doing a certain work is $5:8$. Working together they can complete the work in $20$ days. $A$ alone will complete $25\%$ of that work in:

Working together A, B and C can complete a piece of work in $24$ days. After working together for $4$ days, C left the work. A and B completed the remaining work in $30$ days. The number of days taken by C alone to complete the same work is:

A can do $\frac{3}{5}\text{th}$ of a work in $12$ days, and B can do $\frac{1}{3}\text{rd}$ of that work in $15$ days. They worked together for $12$ days and then A left the work. B alone will complete the remaining work in how many days?

If 28 men can do a piece of work in 26 days, then in how many days 13 men will do it?

A and B complete a work in 12 and 15 days, respectively. They started the work alternatively for 1 day each and A started the work first. In how much time will 60% of the work be completed?

A can complete 40% of a work in 6 days and B can complete 33
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% of the same work in 8 days. They work together for 8 days. C alone completes the remaining work in 4 days. A and C together will complete the same work in:

A can complete 25% of the work in 4 days, B can complete 50% of the same work in 12 days and C can complete the same work in 32 days. They started working together but C left after 4 days of the start and A left 6 days before the completion of the work. In how many days was the work completed?

A machine can complete double the work that a man can complete in a given period of time. To complete a work, 10 machines and 5 men take 60 days. If there were 10 men and 5 machines, then the time it would have taken to complete the work is:

4 men and 4 women can complete a work in 5 days, while 2 men and 5 women can finish it in 6 days. How much time (in days) will be taken by 1 woman working alone and 1 man working all by himself to complete the work, respectively?

A group of $5$ workers can complete a job in $8$ days. If each worker is paid $\text{Rs. }400$ per day, what is the total wage paid to all workers?

A can do a work in $6$ days. $B$ takes $8$ days to complete it. $C$ takes as long as $A$ and $B$ would take working together. How long will it take $B$ and $C$ to complete the work together?