Time and Work Questions

A, B and C can do the same work in 9 days, 12 days and 18 days, respectively. A started the work and worked for 3 days and left. Then, B joined the work and worked for 3 days and left. Then, C joined the work and completed the work. Find the number of days C took to complete the work.

A, B and C can do one-third of a work in 15 days, 30 days and 10 days, respectively. A started the work. C joined him after 1 day and B joined them after 3 days of the beginning. For how many days did C work?

A is 40% more efficient than B. If B finishes a work in 14 days, then in how many days will A finish the same work?

Some workers could complete a work in $150$ days. However, due to the absence of $15$ workers it was completed in $165$ days. Then the initial number of workers was:

Suppose every three adults consume 2 litres of milk and 0.5 kg sugar every day, and the daily consumption of every five children is double the milk and half of the sugar than what the three adults consume. A family has 5 adults and 8 children. Their expenditure on milk and sugar for a month of 30 days, if a half-litre milk packet costs Rs. 25 and a one kg sugar packet costs Rs. 80, is:

A can finish a task in $20$ days and B can finish the same task in half the time taken by A. Working together, what part of the task can they finish in a day?

Rahul can complete a work in 12 days and Ayush in 15 days. If they work together for 3 days, then the fraction of work that will be left is:

A and B can complete a piece of work in $10$ days. B and C can do it in $15$ days. A and C can do it in $12$ days. A, B and C together can complete it in how many days?

30 persons working 10 hours a day can do 5 units of work in 12 days. How many people are required to do 8 units of that work in 16 days if they work for 8 hours a day?

If 12 students can read 4800 pages of a book in 15 days, then how many students can read 7200 pages of the same book in 10 days?

In a typing shop, Lalit can complete typing of a book in 9 days, while Amit can finish the same work in 8 days. How many days will they take together to complete the work?

120 men consume 720kg of rice in 30 days. In how many days can 90 men consume 270kg?

A and B can together complete a task in 40 days. They worked together for 30 days and then B left. A finished the remaining task in next 22 days. In how many days A alone can finish the task?

A and B can complete a task in 40 days and 16 days respectively. A started the task alone and then after 12 days B joined him till the completion of the task. How long did the task last after B joined the task?

$12$ men and $18$ women can do a work in $10$ days. $9$ men and $18$ women can do the same work in $12$ days. If $2$ men and $3$ women together do the same work, in how many days will they complete the work?

Indian Railways employed $200$ workers to complete a certain work in $150$ days. If only one-fourth of the work had been done in $50$ days, then to complete the whole work in time, what is the number of additional workers to be employed?

An AC can cool a hall in 10min, while an AC of another brand can cool the same hall in 15min. If both the ACs are switched on at the same time, then in how much time will they cool the hall?

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

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

Ramu can build a wall alone in $15\text{ days}$, while Ravan can build it alone in $10\text{ days}$. Ramu worked for $5\text{ days}$. Then Ravan joined Ramu for the next $3\text{ days}$. How many more days could Ramu take to build the remaining wall?

A person can paint a 2.5ft
2
of a wall in 5 minutes. How much ft
2
of the wall will he paint in 6 hours?

If 6 people are required to complete a work in 1 hour 20 minutes, then how long will only 5 people take to complete the same work?

A can finish as much work in 6 days as C can in 8 days. B can finish as much work in 6 days as C can in 4 days. How much time will B require to finish a work if A takes 54 days to finish it?

$39$ 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?

40 men can complete a work in 15 days. Five days after they started working, 10 more men joined them. In how many days will the total work be completed?

Raj can build a house in 16 days by himself, while Suraj can do it in 12 days. Raj and Suraj work on alternate days. How many days would the house take to build if Raj starts working on the first day?

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?

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 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?

The average time taken by 6 athletes in a race is 1 minute 50 seconds. The winner completed the race in 1 minute 20 seconds. What is the average time taken by the other 5 athletes?

P works twice as fast as Q. If Q can complete a task in 36 days independently, the number of days in which P and Q can together complete the task is:

If $72$ persons build a $220\text{-m-long}$ wall in $6$ days, then how many persons will be required to build the same type of wall of $550\text{-m}$ length in $5$ days?

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?

If 7 men and 4 women working together can do five times as much work per hour as one man and one woman together, then the ratio of the work done by a man and that of a woman for a given time is:

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

A tank is normally filled in 18 hours by a pipe, but it takes 6 hours more to fill the tank due to a leakage at its bottom. The leakage point can empty the tank when it is two-third full in ______ hours.

When working $3$ hours per day, Anvita alone can complete a piece of work in $8$ days and Maya alone can complete it in $12$ days. If they work together for $7.2$ hours per day, in how many days will they complete the work?

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?

Reena and Riya together can complete a piece of work in 36 days. Riya and Geeta together can complete it in 54 days. Reena and Geeta together can complete it in 81 days. In how many days can Reena alone complete the work?

A can do a piece of work in 12 days, and B can do the same work in 15 days. With the help of C, they can finish the work in 5 days. How long will it take C to finish the work?

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 ________.

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:

If $9$ men and $6$ women working together can do six times as much work per hour as $1$ man and $2$ women working together, then the ratio of the work done by $1$ man to that of $1$ woman in a given time is:

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 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 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 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 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?

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?

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 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?

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

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

$76$ 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

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 man and a boy can do a piece of work in $36$ days. If the man works alone for the last $10$ days, the work is completed in $40$ days. How long would the boy take to do it alone?

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 contractor undertook to finish a road $12\text{km}$ long in $350$ days. But after employing $45$ men for $200$ days, he found that only $4\text{km}$ of the road had been built. How many additional men must be engaged to finish the work in the given time?

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?

X, Y and Z can do a piece of work in 4 days, 5 days and 7 days, respectively. They get Rs. 415 for completing the work. If X, Y and Z have worked together to complete the work, what is X's share?

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:

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?

10 men and 8 women can do a piece of work in 7
2
1
​
days whereas 6 men and 9 women can do the same work in 10 days. In how many days will 35 women complete the same work?

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?

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 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 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?

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:

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?

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 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?

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?

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?

$39$ 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?

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?

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 $13$ 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?

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?

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?

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

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?

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.

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?

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 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?

$8$ 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:

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:

$A$ and $B$ can do a piece of work in $10$ days, $B$ and $C$ in $12$ days, and $C$ and $A$ in $15$ days. The number of days taken by $A$, $B$, and $C$ working together to finish the work is

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 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?

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?

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 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 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?

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?