Time And Work Questions

Pannalal has done
3
1
​
rd of a job in 20 days, Saiprasad completes the rest of the job in 10 days. In how many days can they together do the job?

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:

P alone can do a piece of work in 8 days and Q alone can do the same work in 10 days. In how many days will both together complete the same work?

Parimal has done
4
1
​
th of a job in 10 days, Salim completes the rest of the job in 20 days. In how many days can they together do the job?

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?

Prabodh has done 1/2 of a job in 30 days, Sapan completes the rest of the job in 45 days. In how many days can they together do the job?

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?

Pipes A and B can fill a tank in $16$ hours and $24$ hours, respectively, whereas pipe C alone can empty the full tank in $x$ hours. When all the $3$ pipes are opened together, the tank is full in $20\frac{4}{7}$ hours. What is the value of $x$?

$A$ 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?

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?

B & C can complete a task in $40$ days while A, B & C can complete the task in $20$ days. In how many days can A complete the task alone?

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 does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 4 days. How long B alone would take to do the whole work?

A and B can complete a task in $12$ days, B and C can complete the task in $16$ days, A and C can complete the task in $24$ days. In how many days will they together complete the task?

Komal can do a work in $51$ days. Bimal is $50\%$ more efficient than Komal in doing the work. In how many days Bimal will do that work?

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

A tap can fill a tank in 6 hours. After 4 hours it was found that only 60% of the tank is full due to a leakage at the bottom which was then immediately repaired. In how much time will the tank be completely filled?

A and B can complete a piece of work in 25 days and 55 days, respectively. The total number of days (in whole number) to complete the work, if A and B both work together, is:

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

A labourer can do a job in 36 hours. After 9 hours he takes a break. What fraction of the job is yet to be done?

P and Q can do a project in 25 and 50 days respectively. In how many days can they complete 18% of the project if they work together?

Two workers - Sagar and Manish - are working on a heavy machine to melt waste metal. Sagar can complete the work in 15 days while both workers on alternate basis can complete the work in 12 days. In how many days can Manish alone complete the work?

A can complete 40% of a work in 6 days and B can complete 33
3
1
​
% 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 a piece of work in 12 days while B can do the same work in 18 days. If they both work together, then how many days will be required to finish the work?

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?

A group of 25 tourists consume 5 containers of food in 8 days in a hotel. How many containers will be required for 10 tourists to eat for 16 days?

If $72$ boys can build a wall of $280\text{m}$ length in $21$ days, how many boys would take $18$ days to build a similar type of wall of length $200\text{m}$?

A is twice as good a workman as B. A and B together complete a piece of work in $28$ days. In how many days will A alone do the same piece of work?

P, Q and R together can do a piece of work in 56 days. P and Q together can do one-fourth as much work as R alone. In how many days can P and Q together complete the entire work?

Aman and Rajan are working at a construction site. In some engineering experiment, Aman is constructing a wall, while Rajan is demolishing that wall. Aman can completely build the wall in 15 days, while Rajan will take 20 days to completely demolish the wall. In how many days will the complete wall be built for the first time if they work on alternate days, with Aman working on the 1
st
day?

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:

Ramen deposits $\text{Rs. }100$ on the first day of every month in a monthly savings scheme. In this way, he has deposited money for $1$ year. If the rate of simple interest is $6\%$ per annum, then the total amount he will get at the end of the year is

A takes 84 hours to finish a work. B completes the same work in one-fourth of the time taken by A. What fraction of work will they complete in 12 hours?

$\text{A}$ 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?

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?

$8$ men or $12$ women can do a piece of work in $20$ days. The number of days needed to complete the job, if $10$ men and $15$ women are employed to do the same piece of work is:

3 men can finish a work in 10 days, 4 women can finish it in 12 days and 10 qualified workers can finish it in 6 days. In how many days is the work finished by 4 men, 4 women and 4 qualified workers, working together every day?

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?

Manav and Manu can complete a piece of work in $16$ days and $24$ days, respectively. They worked together for $8$ days, after which Manav leaves. In how many days can Manu finish the remaining work?

Three pipes can fill a tank in 15 hours, 12 hours and 10 hours, respectively. If all the three pipes are opened simultaneously for 3 hours, then what percentage of the tank will remain unfilled?

A and B can complete a work in $16$ days and $12$ days respectively. Both work for $4$ days and then A leaves. Find how much time will B take to complete the remaining work?

If $45$ men can build a wall of $360\text{m}$ length in $18$ days, then how many men are required to build the same wall of $180\text{m}$ length in $15$ days?

A pump can fill a tank with water in $3$ hours. Due to leakage in the bottom, it takes $3\frac{1}{2}$ hours to fill it. In what time will the leak empty the fully filled tank?

A, B and C can do $50\%$ of a work in $15$ days, $12$ days and $20$ days, respectively. They began the work together but A left $2$ days before the completion of the work. In how many days was the work completed?

A reservoir can be completely filled in $18\text{hours}$ by an inlet pipe. A leakage pipe can empty the full reservoir in $36\text{hours}$. If both pipes are opened together, find the time required to fill the reservoir.

Working $12\text{hours}$ per day, Yashu can copy a book in $20\text{days}$. How many hours per day should he work to finish the work in $16\text{days}$?

A mountaineer ascends $30$ feet at the start of each hour, then pauses to rest and slides back $20$ feet before beginning his climb again at the start of the next hour. If he starts his climb at $8:00\text{a.m.}$, at what time will he first reach a flag positioned $120$ feet above the ground?

Komal can do a work in $51$ days. Bimal is $50\%$ more efficient than Komal in doing the work. In how many days will Bimal do that work?

A can finish one-third of a work in 5 days, and B can finish 50% of the same work in 15 days. If they work together, then in how many days will they finish 50% of the work?

A water filling Pipe $P$ is 5 times as fast as a second Pipe $Q$. If $P$ fills a cistern in 30 minutes, how long will it take to fill the tank when both pipes are operated simultaneously?

Sarthak can fill a sandpit with sand in $14\text{days}$ while Vivan takes $35\text{days}$ to fill it. Ali can empty all of the sand from a filled sandpit in $12\text{days}$. If all three start working when the pit is empty, in how many days will the sandpit be full again?

Nine pipes are attached to a tank, of which some are emptying pipes and some are filling pipes. Each filling pipe can fill the empty tank in $24\text{hours}$, while each emptying pipe can empty the fully filled up tank in $18\text{hours}$. If the tank is full and all the pipes are opened simultaneously, the tank is emptied after $9\text{hours}$. The number of emptying pipes is:

A, B and C can complete a work in $5$, $12$ and $30$ days respectively. In how many days can A, B and C together do $\frac{4}{7}$ of the same work?

If $64$ people can complete a piece of work in $8$ days by working $12$ hours a day, then how many hours a day should $32$ people work to complete the same work in $15$ days?

Manjeet can do a work in 18 hours. If he is joined by Jaya who is 100% more efficient, in what time will they together finish the work?

A, B and C can complete a certain work in $12$, $15$ and $20$ days, respectively. A and B together start the work and B leaves after working for $4$ days. A and C together will complete the remaining work in ______ days.

X is 25% more efficient than Y. If Y alone can make a chair in 10 days, then X alone can make the chair in how many days?

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?

A can do a piece of work in $63\text{ days}$ and B is $40\%$ more efficient than A. Then the number of days taken by B to do the same work is:

A can do a certain work in 40 days. B is 60% more efficient than A. Both work together for 10 days. C alone completes the remaining work in 10
2
1
​
days. Working together, B and C can complete 44% of the original work in:

$P$ and $Q$ can do a project in $150$ and $100$ days respectively. In how many days can they complete $60\%$ of the project if they work together?

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 does 75% of a work in 45 days. He then calls in B and they together finish the remaining work in 5 days. How long B alone would take to do the whole work?

A is three times more efficient than B and together they finish a piece of work in $30$ days. In how many days can A alone finish the same work?

$A$ and $B$ can do a work in $13$ days and $26$ days, respectively. If they work for a day alternately, starting with $A$, then in how many days will the work be completed?

A and B together can complete a work in 15 days. If A, B and C working together can complete the same work in 10 days, then in how many days can C alone complete the same 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?

2 men and 1 woman together can complete a piece of work in 14 days. 4 women and 2 men together can do it in 8 days. If a man gets ₹600 per day, how much should a woman get per day?

$30$ women do half of the total work in $30$ days. How many more women will be required to complete the remaining work in $10$ days?

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:

Arvind works $4$ times as fast as Suresh. If Suresh can complete a work in $20$ days independently, then find the number of days in which Arvind and Suresh can together finish the work.

If 72 boys can build a wall of $280\text{m}$ length in 21 days, how many boys would take 18 days to build a similar type of wall of length $200\text{m}$?

Abhay can do a work in 22 days. Nidhi is 28% more efficient than Abhay. The number of days Nidhi will take to do the same piece of work is:

In 1 day, 25 bottles are packed by Arjun, while 22 bottles are packed by Karan in the same time. They are working on alternate days such that Arjun works on the 1
st
day, Karan on 2
nd
, Arjun on 3
rd
and so on. How many bottles will be packed in 9 days?

A, B and C can do a piece of work in 20 days, 30 days and 60 days, respectively, working alone. How soon can the work be done if A is assisted by B and C each on every alternate day?

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?

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 is half as efficient as B who is thrice as efficient as C. In how many days can all $3$ of them complete a task if B can complete the task alone in $6$ days?

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:

A can do three-fourth of a work in 12 days and B can do four-fifth of the same work in 20 days. In how many days can they complete the whole work, working together?

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?

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?

A school is running a tree plantation drive to bring awareness among students about the environment. If 3 teachers can complete the work of tree plantation in 4 days and 4 students take 6 days to do the same work, then how many days will 3 teachers and 2 students take to complete the work of tree plantation?

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?

Raju can complete a piece of job in 15hours, Vinay in 20hours and Vardhan in 30hours. If they work together and they are paid Rs. 7,200 for the job, then what amount would Vinay receive?

Two persons $A$ and $B$ can complete a task in $10\text{ days}$ and $15\text{ days}$, respectively. They work together and $A$ leaves $5\text{ days}$ before the task is completed. The number of days taken to complete the whole task is:

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?

P and Q can do a piece of work in 36days, Q and R can do it in 60days, and P and R can do it in 45days. When P, Q and R work together, how much work is finished by them in 5days?

$X$ and $Y$ together finish a task in $12\text{ days}$. If $Y$ alone can finish the same task in $15\text{ days}$, then how many days will $X$ alone take to finish the task?

In a military camp, there was sufficient food for $190$ days for a total of $4000$ men. After $30$ days, $800$ men left the camp. The remaining men will spend the remaining food provisions in how many days?

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 single person takes $6$ minutes to fill a bottle. If from 11 am to 12.30 pm $1845$ bottles are to be filled, how many persons should be employed on this job?

There are three inlet pipes X, Y and Z in a tank. X and Y can fill the tank in $45$ hours. Y and Z can fill the tank in $36$ hours. Z and X can fill the tank in $72$ hours. The number of hours in which all the three pipes can fill the tank, if operated simultaneously, is:

$76$ ladies can do a job in $33$ days. Due to some reason, some ladies did not join the work and therefore, it was completed in $44$ days. The number of ladies who did not join the work is

Pipes A and B can fill a tank in 18 hours and 27 hours, respectively, whereas pipe C can empty the full tank in 54 hours. All three pipes are opened together, but pipe C is closed after 12 hours. In how much time (in minutes) will the one-third of the remaining part of the tank be filled by A and B together?

$\text{C}$ 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?

How many workers would be needed to complete the same task in $6$ days if it takes $10$ days for $15$ workers to complete a task?

In 46.5 weeks, Ram raised Rs. 2,170 for science research. How much money will he raise in 30 weeks?

A and B can do a piece of work separately in 10 days and 8 days, respectively. If they work alternately and A begins the work, in how many days will the work be completed?

A group of men decided to complete a job in 4 days. However, since 10 men dropped out every day, the job got completed at the end of the 7th day. How many men were there in the beginning?