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 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?

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:

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

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?

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?

$12$ 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?

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?

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?

$39$ 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?

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?

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

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:

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 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?

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?

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 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 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?

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?

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:

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?

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

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?

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?

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

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?

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 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.

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?

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?

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 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 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?

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?

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 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 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?

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, 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.

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:

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 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 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:

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?

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?

$A$ 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 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?