Time And Work Questions

X and Y can complete a work in 12 days and 18 days respectively. They started doing the work together but after 4 days Y had to leave and X alone completed the remaining work. In how many days was the whole work completed?

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 contractor undertakes to make a tunnel in $40$ days and employs $25$ men. After $24$ days, he finds that only one-third of the road is made. How many extra men should he employ so that he is able to complete the work $4$ days earlier?

Pannalal has done
3
1
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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 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:

$30$ 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?

Parimal has done
4
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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?

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 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?

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 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?

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 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?

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?

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:

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?

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?

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?

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?

Anita and Anand can complete a work in 12 days and 18 days respectively. They undertook to complete that work for ₹48,000. With the help of Arun, they completed the work in 6 days. Find the sum of the shares of Anita and Anand (in ₹).

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?

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:

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 $200\text{m}$?

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 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?

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 do three-seventh of a work in $15$ days and B can do two-fifth of the same work in $14$ days. If A and B work together, then how long (in days) will they take to complete the work?

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?

A can finish a work in 15 days and B can do the same work in twice the time taken by A. Then, working together, what part of the same work they can finish in five days?

X, Y and Z can complete a piece of work in 8, 20 and 25 days respectively. Working together, they will complete the same work in:

$\text{A}$ 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?

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?

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?

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?

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?

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?

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, 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.

$7\text{men}$ or $10\text{women}$ can build a wall of $100\text{metres}$ in $10\text{days}$. How many days will $14\text{men}$ and $20\text{women}$ take to build a wall of $600\text{metres}$?

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

A completes a work in 3 days while B completes it in 6 days. If they work alternately with A starting work first, then in how many days will the work be finished?

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 $16\text{days}$?

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?

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?

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 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.

Akash is 3 times as good a workman as Baldev and therefore is able to finish a job in 40 days less than Baldev. Working together, they can finish it in ________.

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?

Painter A can paint a house in 40 days and Painter B can do it in 60 days. With the help of C, they did the job in 20 days only. Then, C alone can do the job in:

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 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
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days. Working together, B and C can complete 44% of the original work in:

$39$ persons can repair a tunnel in $12$ days working $10$ hours a day. In how many days will $30$ persons working $6$ hours a day complete the work?

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

$48$ men can do a work in $14$ days. Find the amount of work done by $5$ men in $12$ days.

In the first 44 overs of a cricket match, the run rate was 5.1runs/over. Calculate the required run rate in the remaining 6 overs to reach the target of 294 runs?

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?

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?

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.

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?

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?

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 $200\text{m}$?

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?

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:

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 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?

$A$ 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?

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?

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, 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 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?

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?

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?

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 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?

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?

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:

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?

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:

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?

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:

$\text{C}$ 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?

A work is done by $3\text{ males}$ in $16\text{ days}$ and the same work is done by $6\text{ females}$ in $16\text{ days}$. If $12\text{ males}$ and $8\text{ females}$ work together, then they will complete the work in how many days?

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?