Time and Work

Two pipes can fill a tank in $8 \mathrm{h}$ and $12 \mathrm{h}$ respectively whereas an escape pipe can empty it in $6 \mathrm{h}$. If the three pipes are opened at $1$ PM, $2$ PM and $3$ PM respectively, at what time will the tank be filled?

A can complete a work in $25 \mathrm{days}$ while B can complete the same work in $40 \mathrm{days}$. By working together, in how many days can both of them complete that work?

Three persons undertake to complete a piece of work for Rs.1,200. The first person can complete the work in 8 days,second person in 12 days and third person in 16 days.They complete the work with the help of a fourth person in 3 days.What does the fourth person get?

A takes half-time than B to do a work. C takes time equal to A and B together. If three together can do the work in $7 \mathrm{days}$ then, in how many days A alone can do the work?

A can do a piece of work in $10 \mathrm{days}$, while B can do it in $15 \mathrm{days}$. Working together, in how many days, they will complete the work?

A and B together can do a piece of work in $30$$\mathrm{days}$. A having worked for $16 \mathrm{days}$, B finishes the remaining work alone in $44 \mathrm{days}$. In how many days shall B finish the whole work alone?

A can do $\raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$4$}\right.$ of a work in $12 \mathrm{days}$. In how many days can he finish $\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$8$}\right.$ of the work?

A man rows $13 \mathrm{km}$ upstream in $5 \mathrm{h}$ and also $28 \mathrm{km}$ downstream in $5 \mathrm{h}$. The velocity of the stream is ______

$8$ men can complete a piece of work in $20$ days. 8 women can complete the same work in $32$ days. In how many days will $5$ men and $8$ women together complete the same work?

If one man or two women or three boys can do a piece of work in $77 \mathrm{days}$, then one man, one woman, and one boy will do it in how many days?

A person walks a distance in $114 \mathrm{days}$  when he rests $9 \mathrm{hours}$ a day. How long will he take to walk twice the distance, if he walk twice as fast and rests twice as long each day as before?

If $10$men can do a piece of work in $12$days working $7$$\mathrm{hours}$ a day, then the number of $\mathrm{hours}$ a day must $6$men work to do the same work in $14$ days is -

In a camp, $95$ men had provisions for $200 \mathrm{days}$. After $5 \mathrm{days}$, $30$ men left the camp. For how many days will the remaining food last now?

$6 \mathrm{boys}$ or $4 \mathrm{men}$ can complete a piece of work in $24 \mathrm{days}$. In how many days will  $3 \mathrm{boys} \mathrm{and} 10 \mathrm{men}$ together complete the same piece of work?

A certain number of men can do work in $60 \mathrm{days}$. If there were $8 \mathrm{men}$ more it could be finished in $10 \mathrm{days}$ less. The number of men is____

$3$ men or $5$ women can do a piece of work in $12 \mathrm{days}$. How long will $6$ men and $5$ women take to finish the piece of work?

A can do in$10 \mathrm{days}$ a piece of work which B can do in$15 \mathrm{days}$. If both worked half time everyday, how long would they take to do it working together?

Nidhi bought two wristwatches for $₹720$. She sold one at a loss of $15\%$ and the other at a gain of $19\%$ and then her friend found that each wristwatch was sold at the same price. Find the cost of the wristwatch sold at a loss

Some staff promised to do a job in $18 \mathrm{days}$, but $6$ of them went on leave, So the remaining men took $20 \mathrm{days}$ to complete the job. How many men were there originally?

Two friends $P$ and $Q$ started a business investing amount in the ratio of $5 : 6$. $R$ joined them after $6 \mathrm{months}$ investing an amount equal to that of $Q\text{'}s$ amount. At the end of year $20\%$ profit was earned which was equal to $₹98000$. What was the amount invested by $R$?