Time and Work Test for Competitive Exams

A group of men decided to do a job in 4 days but 20 men dropped out every day, the job was completed at the end of the 7th day. Find the men who are in the work initially?

A printer A can print one thousand books in 15 hours, printer B can print the same number of books in 10 hours and printer C can print the same number of books in 12 hours. If all the printers are started to print the books at 8 A.M, after sometime printer A is closed at 9 A.M and printer B and printer C remain working. Find at what time the printing will be completed?

Ramesh and Ram can do a piece of work in 24 and 30 days respectively. They both started and worked for 6 days. Ram then leaves the work and another their friend Rohit joins the work and completed the remaining work with Ramesh in 11 days. Find how many days are taken by Rohit alone to finish the work?

A woman has her three daughters. First and second can take 24 and 30 days respectively to complete a work. In how many days does the third one take to complete the work, if the woman can complete the whole work alone in 3(3/11) days? The efficiency of woman is double than her three daughters.

A contractor takes a road construction project to finish it in 40 days and for that he engaged 200 men. After 30 days he employed 100 more men in this project, then the work finished on time. Find if the 100 more men would not worked then how many more days required to finish the work?

A can do a work in 25 days which B alone can do in 20 days. A started the work and was joined by B after 10 days. Find the number of days taken in completing the work?

6 men of the first group do (2/3) of the work in (1/3) times compared to 4 men of the second group. Find the respective ratio for one day of 2 men of the first group and 4 men of the second group?

Aman is thrice as efficient as Bikash. Aman started the work and worked for 6 days then he is replaced by Bikash, he worked for 9 more days and they together finish 50% of the work. Find in how many days Bikash completed the work?

A, B and C can complete a piece of work in 10, 12 and 15 days respectively. A left the work 5 days before the completion of the work. B left two days after A had left the work. Find the number of days required to complete the work?

A can do a work in 12 days when he had worked for 3 days B joined him if they complete the work in 3 more days. In how many days can B alone finish the work?

6 women can complete a piece of work in 15 days. After 3 days from the start of the work, some of them left the work. If the remaining work was completed by the rest of the women in 20 days, how many women left after 3 days from the start of the work?

A is thrice as good as B and it takes 30 days less than B for doing a job. How much time is required to finish the work together?

10 men, 6 women and 9 boys were given a project of doing 2000 designs of a building in 5 days. All of them designed on the first day. On the second day 2 women and 3 boys are absent. On the third day, 3 men and 5 boys are absent. If the ratio of the number of designs done by them is in the ratio 3 : 2 : 1 respectively. Then find the number of designs designed by them on the second day (approx.)?

9 children can complete a piece of work in 200 days. 18 men can complete the same work in 150 days and 12 women can complete the work in 180 days. In how many days can 10 children, 3 men and 12 women together complete the work?

A man gets Rs.620 for every day for his work. If he earns Rs.12400 in a month of 31 days, find how many days did he work?

20 men can complete a work in 12 days and 24 boys can complete the same work in 20 days. 16 men and 8 boys started working and worked for 12 days. How many more days are needed to complete the work?

A and B each working alone can do a work in 12 and 36 days respectively. They started the work together but A left after sometime and B finished the remaining work in 4 days. After how many days from the start did A leave?

A man ‘A’ can do a piece of work in 10 days, man ‘B’ can do the same piece of work in 12 days while man ‘C’ can do it in 15 days. They started work together but after 2 days ‘A’ left the work and the remaining work was completed by ‘B’ and ‘C’ together. Find in how many days will the work be completed.

An empty tank whose capacity is 50 litres. There is an inlet pipe which fills at 7 L/min and there is an outlet pipe which empties at 6L/min. Both the pipes function alternately for 1 minute. The inlet pipe is the first one to function, how much time will it take for the tank to be filled up to its capacity?

There are three pipes, A, B and C, attached to container. A and B can fill the container alone in 20 and 30 mins respectively whereas C can empty the container alone in 45 mins. The three pipes are kept opened alone for one minute each in the order A, B and C. The same order is followed subsequently. In how many minutes will the reservoir be full?

Efficiency of A is 50% more than B and B takes 21 days to complete a piece of work. A started the work alone and then B joined her 5 days before actual completion of the work. For how many days A worked alone?

M can do a piece of work in 10 days working 10 hours a day. The work is started by M and on the second day one man whose capacity to do the work is twice that of M, joined. On the third day another man whose capacity is thrice that of M, joined and the process continues till the work is completed. In how many days will the work be completed, if everyone works for five hours a day?

A tent can be built by a certain number of workers in 20 days. But it requires less than 20 workers to build it in 30 days. How many workers will build it in 50 days?

A can do a particular work in 6 days. B can do the same work in 8 days. A and B signed to do it for Rs. 4000. They completed the work in 3 days with the help of C. How much is to be paid to C?

Ram and Ravi can separately do a piece of work in 20 and 15 days respectively. They worked together for 6 days, after which Ravi was replaced by Rohit. If the work was finished in next 4 days, then the number of days in which Rohit alone could do the work will be:

A completes 40% of a task in 10 days and then takes the help of B and C. B is 50% as efficient as A is and C is 50% as efficient as B is. In how many more days will they complete the work?

Jeni can do a job in 30 days, Nove in 45 days and Joel in 60 days. If Jeni is helped by Nove and Joel every 3rd day, how long will it take for them to complete the job?

Ram and Ravi can do a job together in 8 days. Ram is 11/8 times as efficient as Ravi. The same job can be done by Ravi alone in

The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days then in how many days can 12 men, 12 women and 12 boys together finish the same work working 8 hours per day?

M and N can do a piece of work in 30 days, while N and O can do the same work in 24 days and O and M in 20 days. They all work together for 10 days when N and O leave. How many days more will M take to finish the work?

6 men can do a piece of work in 2 hours, which 3 women could do in 3 hours, or 5 children in 4 hours. How long would 1 man, 1 woman and 1 child together take to do the work?

A, B and C can all together do a piece of work in 20 days, in which B takes twice as long as A and C together do the work and C takes twice as long as A and B together take to do the work. In how many days can B alone do the work?

A typing work is done by three persons P, Q and R. P alone takes 20 hours to type a single booklet but Q and R working together takes 5 hours for the completion of the same booklet. If all of them worked together and completed 15 booklets, then how many hours have they worked?

Efficiency of A is 25% more than B and B takes 25 days to complete a piece of work. A started a work alone and then B joined her 5 days before actual completion of the work. For how many days A worked alone?

A project manager hired 15 men to complete a project in 40 days. However, after 30 days, he realized that only 1/2 of the work is completed. How many more men does he need to hire to complete the project on time?

24 men working 5 hours a day can finish a work in 12 days. Find the number of men required to finish the same work in 8 days working 6 hours a day?

The work done by a man, a woman and a child is in the ratio of 3 : 2 : 1. There are 20 men, 30 women and 48 children in a factory. Their weekly wages amount to Rs 840, which is divided in the ratio of work done by the men, women and children. What will be the wages of 10 men, 20 women and 30 children for 1 week?

A and B working separately can do a piece of work in 6 and 8 days, respectively. If they work for a day alternately with A beginning, the work would be complete in

12 children and 15 men complete a certain piece of work in 7 days. If each child takes twice the time taken by a man to finish the work, in how many days will 14 men finish the same work?

A can do a piece of work in 15 days, B in 20 days. A and B work at it together for 6 days and then C finishes it in 3 days. In how many days could C have done it alone?

4 men can do a piece of work in 2 hours, which 5 women could do in 3 hours, or 10 children in 4 hours. How long would 1 man, 1 woman and 1 child together take to do the work?

Pipe A and Pipe B can fill a cistern in 12 hours and 15 hours respectively. When a third pipe C which works as an outlet pipe is also open then the cistern can be filled in 20 hours. The outlet pipe can empty a full cistern in

C is twice efficient as A, B takes thrice as many days as C. A takes 12 days to finish the work alone. If they work in pairs (i.e., AB, BC, CA) starting with AB on the first day then BC on the second day and AC on the third and so on, then how many days are required to finish the work?

If 12 men and 16 boys can do a piece of work in 5 days. 13 men and 24 boys can do it in 4 days, then the ratio of the work done by a man to that of a boy is?

A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days. The number of days after which A left the work was

P and Q clean the room in 18 hours and 15 hours respectively. If P works for 3 hours and Q works for the remaining time only, then in how many hours would Q complete the remaining work?

A and B together, B and C together and A and C together can complete the work in 35 days, 42 days and 30 days respectively. C is how much percent less/more efficient than A?

A can do a work in 24 hours while B can do the work in 18 hours. Efficiency of C is 500/7% more than that of A and B when working together then find out the time taken by C alone to complete the work.

A alone can do a work in 12 days but when A works with B, the work gets completed in 60/7 days. B and C together do the work in 12 days. In how many days can A and C together do the work?

A and B can complete a task in 30 hours and 10 hours respectively. Only A works during the first hour and both A and B work during the 2nd hour. If they continue working in this pattern, in how many hours would 41/60 of the work be completed?

Timon and Pumba are two friends. A total of Rs. 960 was paid to both of them for completing a work. Timon started working and worked for ‘x’ days and then left and the remaining work was completed by Pumba and he was paid Rs. 540. If Timon and Pumba alone can complete the work in 6 days and 12 days respectively, find the value of x.

Sita, Gita and Rita can complete a work in 6, 10 and 15 days respectively. Gita and Rita started the work together and worked for ‘x’ days and then both left the work and the remaining work is completed by Sita in 3 days. Find the value of x.

Ram is 20% less efficient than Amit and Deepak is 50% more efficient than Ram. If Amit, Ram and Deepak together can complete the work in 8 days, find the time taken by Amit and Deepak together to complete the work.

X, Y and Z alone can do a certain piece of work in 42, 30 and 35 days respectively. They started working together but after ‘x’ days, Z left the job and ‘x’ days before completion of work Y also left the job. Find the value of ‘x’ if the whole work was completed in 3x days.

A, B and C individually can do a certain piece of work in 35, 42 and 24 days respectively. They started working together but after ‘x’ days A and C left the job and the remaining work is completed by B with 25% more efficiency. If the whole work is completed in 114/5 days then find the value of x.

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

P takes twice as much time as Q or thrice as much time as R to finish a piece of work. They can finish the work in 2 days if work together. How much time will Q take to do the work alone?

10 men can complete a work in 7 days. But 10 women need 14 days to complete the same work. How many days will 5 men and 10 women need to complete the work?

3 men and 7 women can complete a work in 10 days. But 4 men and 6 women need 8 days to complete the same work. In how many days will 10 women complete the same work?

P can finish a work in 18 days. Q can finish the same work in 15 days. Q worked for 10 days and left the job. How many days does P alone need to finish the remaining work?

A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?

A can do a piece of work in 4 hours. A and C together can do it in just 2 hours, while B and C together need 3 hours to finish the same work. How much time will B alone take to complete the work (in hours)?

A can do a particular work in 6 days. B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?

P and Q were assigned to do a work for an amount of 1200. P alone can do it in 15 days while Q can do it in 12 days. With the help of R they finish the work in 6 days. Find the share of R.

A does half as much work as B does in one sixth of the time. If together they take 20 days to complete the work, then what is the time taken by B to complete the work independently?

Machines A and B produce 100 products in 10 days, machines B and C together can produce the same products in 12 days and machines A and C together can produce that products in 15 days. In how many days can A produce the same products alone?

Two friends Ram and Sam can complete a project in 14 days and 35 days respectively. In how many days they will complete the project if they work together?

A can stitch a shirt in 12 hours. B and C can stitch a shirt in 9 hours while A and C together can do it in 6 hours. How long will B alone do the work?

Worker 1 can complete a piece of work in 8 days. Worker 2 can complete in 10 days. Then Worker 3 also joined with them and they completed the same work in 4 days. Find how many days worker 3 alone can complete the work?

Mano can construct a shop in 30 days. He works at it for 10 days and then Somu finishes in 40 days. In how many days will it be completed if they work together?

A project work could be finished in 27 days by some workers. But it was finished 9 days before the deadline as 10 more workers are joined. Find the number of workers.

X can complete a piece of work in 20 days and Y can complete a work in 40 days. They began the work 10 days before finishing the work X leaves from the work. Find in how many days the work was completed?

A can do a work in 10 days and B in 15 days. If they work on it together for some days and 5/12 of work remains then find out how many days did they work together?

A takes four times as much time as B or five times as much time as C to finish a piece of work. Working together, they can finish the work in 22 days. B can do the work alone in:

First Air cooler can cool the room in 10 minutes while second takes 15 minutes to cool under similar conditions. If both air coolers are switched on at same instance then how long will it take to cool the room approximately?

Person 1 is thrice as good a workman as person 2 and so takes 30 days less than person 2 for doing a job. Calculate the time in which they can do the job together.

32 men and 24 women together can complete a work in 16 days. 40 men can complete the same work in 32 days. How many days will 32 women complete the same work?

Four examiners can examine a certain number of answer papers in 10 days by working for 5 hours a day. For how many hours in a day would 2 examiners have to work in order to examine twice the number of answer papers in 20 days?

2 boys and 3 girls together or 4 boys can complete a piece of work in 20 days. 3 boys and 3 girls will complete the same work in how many days?

Varun gets Rs. 700 for every day that he works. If he earns Rs.19600 in a month of 62 days, for how many days did he work?

Person A and Person B can complete a piece of work in 30 days and 20 days respectively. Then contracted to complete the work for Rs. 60,000. The share of Person A in the contracted money will be

There are n number of workers who can finish a project work in 15 days. If there are 3 more workers, it could be finished in 5 days less. The original number of workers are:

84 women can do a piece of work in 36 days. How many women are required to complete the same work in 42 days?

Person A earns Rs. 250 in 16 days and person B earns Rs.280 in 20 days. What is the ratio of their earnings?

Hasini and her daughter received Rs. 800 as wages for 5 days work. Hasini’s work efficiency was three times more than her daughter. Then what is the daily wage of her daughter?