CAT QA TIME WORK QUESTIONS

Sam can complete a job in 20 days when working alone. Mohit is twice as fast as Sam and thrice as fast as Ayna in the same job. They undertake a job with an arrangement where Sam and Mohit work together on the first day, Sam and Ayna on the second day, Mohit and Ayna on the third day, and this three-day pattern is repeated till the work gets completed. Then, the fraction of total work done by Sam is

Amal and Vimal together can complete a task in 150 days, while Vimal and Sunil together can complete the same task in 100 days. Amal starts working on the task and works for 75 days, then Vimal takes over and works for 135 days. Finally, Sunil takes over and completes the remaining task in 45 days. If Amal had started the task alone and worked on all days, Vimal had worked on every second day, and Sunil had worked on every third day, then the number of days required to complete the task would have been

Renu would take 15 days working 4 hours per day to complete a certain task whereas Seema would take 8 days working 5 hours per day to complete the same task. They decide to work together to complete this task. Seema agrees to work for double the number of hours per day as Renu, while Renu agrees to work for double the number of days as Seema. If Renu works 2 hours per day, then the number of days Seema will work, is

Rahul, Rakshita and Gurmeet, working together, would have taken more than 7 days to finish a job. On the other hand, Rahul and Gurmeet, working together would have taken less than 15 days to finish the job. However, they all worked together for 6 days, followed by Rakshita, who worked alone for 3 more days to finish the job. If Rakshita had worked alone on the job then the number of days she would have taken to finish the job, cannot be

Gautam and Suhani, working together, can finish a job in 20 days. If Gautam does only 60% of his usual work on a day, Suhani must do 150% of her usual work on that day to exactly make up for it. Then, the number of days required by the faster worker to complete the job working alone is

Pipes A and C are fill pipes while Pipe B is a drain pipe of a tank. Pipe B empties the full tank in one hour less than the time taken by Pipe A to fill the empty tank. When pipes A, B and C are turned on together, the empty tank is filled in two hours. If pipes B and C are turned on together when the tank is empty and Pipe B is turned off after one hour, then Pipe C takes another one hour and 15 minutes to fill the remaining tank. If Pipe A can fill the empty tank in less than five hours, then the time taken, in minutes, by Pipe C to fill the empty tank is

The amount of job that Amal, Sunil and Kamal can individually do in a day, are in harmonic progression. Kamal takes twice as much time as Amal to do the same amount of job. If Amal and Sunil work for 4 days and 9 days, respectively, Kamal needs to work for 16 days to finish the remaining job. Then the number of days Sunil will take to finish the job working alone, is

Bob can finish a job in 40 days, if he works alone. Alex is twice as fast as Bob and thrice as fast as Cole in the same job. Suppose Alex and Bob work together on the first day, Bob and Cole work together on the second day, Cole and Alex work together on the third day, and then, they continue the work by repeating this three-day roster, with Alex and Bob working together on the fourth day, and so on. Then, the total number of days Alex would have worked when the job gets finished, is

A group of N people worked on a project. They finished 35% of the project by working 7 hours a day for 10 days. Thereafter, 10 people left the group and the remaining people finished the rest of the project in 14 days by working 10 hours a day. Then the value of N is

Working alone, the times taken by Anu, Tanu and Manu to complete any job are in the ratio 5 : 8 : 10. They accept a job which they can finish in 4 days if they all work together for 8 hours per day. However, Anu and Tanu work together for the first 6 days, working 6 hours 40 minutes per day. Then, the number of hours that Manu will take to complete the remaining job working alone is

Anil can paint a house in 12 days while Barun can paint it in 16 days. Anil, Barun, and Chandu undertake to paint the house for ₹ 24000 and the three of them together complete the painting in 6 days. If Chandu is paid in proportion to the work done by him, then the amount in INR received by him is

One day, Rahul started a work at 9 AM and Gautam joined him two hours later. They then worked together and completed the work at 5 PM the same day. If both had started at 9 AM and worked together, the work would have been completed 30 minutes earlier. Working alone, the time Rahul would have taken, in hours, to complete the work is

Anil can paint a house in 60 days while Bimal can paint it in 84 days. Anil starts painting and after 10 days, Bimal and Charu join him. Together, they complete the painting in 14 more days. If they are paid a total of ₹ 21000 for the job, then the share of Charu, in INR, proportionate to the work done by him, is

Two pipes A and B are attached to an empty water tank. Pipe A fills the tank while pipe B drains it. If pipe A is opened at 2 pm and pipe B is opened at 3 pm, then the tank becomes full at 10 pm. Instead, if pipe A is opened at 2 pm and pipe B is opened at 4 pm, then the tank becomes full at 6 pm. If pipe B is not opened at all, then the time, in minutes, taken to fill the tank is

Amar, Akbar and Anthony are working on a project. Working together Amar and Akbar can complete the project in 1 year, Akbar and Anthony can complete in 16 months, Anthony and Amar can complete in 2 years. If the person who is neither the fastest nor the slowest works alone, the time in months he will take to complete the project is

Anu, Vinu and Manu can complete a work alone in 15 days, 12 days and 20 days, respectively. Vinu works everyday. Anu works only on alternate days starting from the first day while Manu works only on alternate days starting from the second day. Then, the number of days needed to complete the work is

A contractor agreed to construct a 6 km road in 200 days. He employed 140 persons for the work. After 60 days, he realized that only 1.5 km road has been completed. How many additional people would he need to employ in order to finish the work exactly on time?

John takes twice as much time as Jack to finish a job. Jack and Jim together take one-thirds of the time to finish the job than John takes working alone. Moreover, in order to finish the job, John takes three days more than that taken by three of them working together. In how many days will Jim finish the job working alone?

Anil alone can do a job in 20 days while Sunil alone can do it in 40 days. Anil starts the job, and after 3 days, Sunil joins him. Again, after a few more days, Bimal joins them and they together finish the job. If Bimal has done 10% of the job, then in how many days was the job done?

John gets Rs 57 per hour of regular work and Rs 114 per hour of overtime work. He works altogether 172 hours and his income from overtime hours is 15% of his income from regular hours. Then, for how many hours did he work overtime? [TITA]

At their usual efficiency levels, A and B together finish a task in 12 days. If A had worked half as efficiently as she usually does, and B had worked thrice as efficiently as he usually does, the task would have been completed in 9 days. How many days would A take to finish the task if she works alone at her usual efficiency?

Three men and eight machines can finish a job in half the time taken by three machines and eight men to finish the same job. If two machines can finish the job in 13 days, then how many men can finish the job in 13 days? [TITA]

A tank is emptied everyday at a fixed time point. Immediately thereafter, either pump A or pump B or both start working until the tank is full. On Monday, A alone completed filling the tank at 8 pm. On Tuesday, B alone completed filling the tank at 6 pm. On Wednesday, A alone worked till 5 pm, and then B worked alone from 5 pm to 7 pm, to fill the tank. At what time was the tank filled on Thursday if both pumps were used simultaneously all along?

Ramesh and Ganesh can together complete a work in 16 days. After seven days of working together, Ramesh got sick and his efficiency fell by 30%. As a result, they completed the work in 17 days instead of 16 days. If Ganesh had worked alone after Ramesh got sick, in how many days would he have completed the remaining work?

A water tank has inlets of two types A and B. All inlets of type A when open, bring in water at the same rate. All inlets of type B, when open, bring in water at the same rate. The empty tank is completely filled in 30 minutes if 10 inlets of type A and 45 inlets of type B are open, and in 1 hour if 8 inlets of type A and 18 inlets of type B are open. In how many minutes will the empty tank get completely filled if 7 inlets of type A and 27 inlets of type B are open? (TITA)

When they work alone, B needs 25% more time to finish a job than A does. They two finish the job in 13 days in the following manner: A works alone till half the job is done, then A and B work together for four days, and finally B works alone to complete the remaining 5% of the job. In how many days can B alone finish the entire job?

Humans and robots can both perform a job but at different efficiencies. Fifteen humans and five robots working together take thirty days to finish the job, whereas five humans and fifteen robots working together take sixty days to finish it. How many days will fifteen humans working together (without any robot) take to finish it?

A tank is fitted with pipes, some filling it and the rest draining it. All filling pipes fill at the same rate, and all draining pipes drain at the same rate. The empty tank gets completely filled in 6 hours when 6 filling and 5 draining pipes are on, but this time becomes 60 hours when 5 filling and 6 draining pipes are on. In how many hours will the empty tank get completely filled when one draining and two filling pipes are on? [TITA]

Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration. If this amount is shared by them in proportion to their work, then Kamal's share, in rupees, is

A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours. If the outlet pipe is open then the inlet pipe fills the empty tank in 10 hours. If only the outlet pipe is open then in how many hours the full tank becomes half-full?

In a factory, 18 workers (first worker, second worker, third worker …18Th worker), where the nth worker works for 'n' hours each day, can complete the production of a batch of goods in 30 days. If 15 workers are assigned to produce the same batch of goods, each working for 9 hours a day, how many days will it take for them to complete the production? (Assume all workers have the same efficiency).

A is 20% more efficient than B, and B is 25% more efficient than C. A, B, and C start the work together. B and C leave in the middle. A works 20% more days than B, and B works 25% more days than C. If A and B together complete the same work in 21 days, then find the number of days B works more than C.

A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days. On Day 3, they are joined by another person of equal efficiency. Like this, everyday a new person with the same efficiency joins the work. How many days are required to complete the job? (TITA)

A bakery has a machine that can fill cream into a batch of pastries in 64 minutes. However, due to a small hole in the piping system, some cream leaks out, causing the batch to take 96 minutes to fill. A technician repairs the machine and manages to reduce the leakage by 50%. Now, the bakery wants to reduce the filling time to half of what it was before the repair, when the leak was still present. If the filling speed after the repair be S then, by what percentage should the filling speed(S) be increased to achieve half filling time?

Two painters, Ayaan and Tara, can complete a mural individually in the ratio of 7:8 days. Working together for 9 hours a day, they can finish the mural in 8 days. For the first 4 days, only Ayaan and Tara work, putting in 5 hours and 20 minutes each day. From the 5th day onward, a third painter, Mehul, joins them, and all three work 8 hours a day. The mural was completed in 9 days. How many days would Ayaan and Mehul take to complete the same mural if they work 6 hours a day?

A and B are asked to complete a job. A needs 7 more hours than B to complete the job alone. When they work together, they take 9 hours less than A would take to complete the job working alone. How many hours will A need to complete the job?

An inlet pipe can fill a tank in 8 hours, while an outlet pipe can empty the same tank in 12 hours. If "n" inlet pipes are opened simultaneously, and some outlet pipes are also open (the number of outlet pipes is less than 10), find the sum of all possible values of n if the tank gets filled in 2 hours.

In a nut-bolt factory, there are four types of machines A, B, C, and D. If operator used (2 machines of type B and one each of type C and D) to produce 240 nuts in two hours. If two machines of type A and one machine of type C take three hours to produce 240 nuts and Three machines one each of A, B and C take four hours to do the same task. How long (in hours) will it take to produce 980 nuts if the operator uses four machines of different types?

Ramesh alone can do the work in 18 days, while Suresh can do 40% of the same work in 8 days. Suresh started the work alone and left the work after 5 days. If the remaining work is completed by Ramesh and Mahesh together in 9 days, then find the time taken (in days) by Mahesh to do the same.

A can complete 75% of a task in 18 days. B is 20% more efficient than A. Both A and B work together for 6 days and then leave. C completes the remaining work in 18 days. By what percentage is C more or less efficient than A?

Ram can do a certain piece of work in 16 days more than the time taken by Ram and Sita together to do the same work. Sita can do the same work in 9 days more than the time taken by the two to complete the same work. They agree to do the work for a total compensation of Rs 7200 and with the help of Laxman, they complete it in 7 days. How much money will Laxman get as his share?

Two workers, Rakesh and Rahul, undertake a job. Rahul started working 3 days after Rakesh. Six days after Rahul has begun working, 46% of the total work is still done. When the work is done, it turns out that Rakesh’s share is Rs 3600 out of the Rs. 6000. How many days would Rahul take to do the same work working alone?

The efficiencies of Ravi, Sohan, and Tapan are in the ratio 3 : 4 : 6, respectively. Ravi alone can complete the entire work in 36 days. For the first 4 days, only Ravi and Sohan worked together. After that, Ravi left, and Tapan joined. The remaining work was completed by Sohan and Tapan together. Find the ratio of work done by Rohan, Sohan and Tapan respectively in completing this project.

If P works at one-third of his efficiency and Q at half of his efficiency, they can complete a job together in 45 days. However, if P works at twice his efficiency and Q at 1.5 times his efficiency, they can complete the same job together in 10 days. In how many days, p can complete the same work working alone?

ive men and eighteen women can complete a project in 30 days. The efficiency of each woman is at least one third that of a man, but not more than half of a man. What is the difference between the maximum and minimum number of days required by 3 men and 6 women to complete the same project?

A and B can finish a job in 10 days, B and C in 20 days, and A and C in 12 days. They work in rotation: A on day 1, B on day 2, C on day 3, and so on. In how many days will the work be completed?

An inlet pipe can fill the tank in 12 hours, while an outlet pipe can empty the tank in 16 hours. If “n “inlets pipe was open with some outlet pipes where, the total number of outlet pipes is less than 10. Then, find the sum of all possible values of n if the tank gets filled in 2 hours.

Three chefs — Neel, Kabir, and Arjun — are preparing a grand feast. Working together, they complete the preparations 50 hours faster than the Neel would take working alone, similarly, 20 hours faster than Kabir would take working alone, and in half of the time that Arjun would take on his own. How many hours will Neel alone take to prepare the same feast?

A painter finishes one wall containing 9 rows of bricks in 20 minutes, while leaving an 16% gap on the left side for design. Now, he has to paint 21 walls, each with 8 rows of bricks, but this time his rate of leaving gap is 18.75% more than before. How long will it take him to complete all the walls under the new conditions?

Three machines X, Y, and Z are assigned to complete a project. X takes four times as long as Y and Z together to finish the project. Y takes equal time as X and Z together take to finish the same project. If all three machines working together can complete the project in 9 hours, then in how many days will Z complete the project if it works 6 hours each day?

Aman and Raunak together can complete a work in x days. If Aman had to work alone, he would take 36 days longer to complete the work. While If Raunak had to work alone, he would take 25 days longer to complete the work.

Find the value of x.

A task requires 40 men to complete it in 20 days, working 8 hours a day. On the first day , only four men start and work for 8 hours. Starting from the second day, every day four more men join the working group and the entire group works for 15 minutes more than the time for which it worked on the previous day.

At the end of the 15th day, what percentage of the work has been completed? [write your answer upto one decimal point]

A certain work can be completed by ‘n’ workers in 15 days. The work was started with ‘n’ workers, but from the second day onward, one worker left each day. As a result, the work was completed 14 days later than expected. Find the number of workers who worked on the last day.

Three workers — Raghav, Saurav, and Gaurav — are hired to complete a project. They start the project together, but Gaurav leaves after 8 days, by which time 70% of the work is done. Raghav and Saurav complete the remaining work in 12 more days. If the efficiency ratio of Raghav to Saurav is 2:1, how many days would the faster worker take to complete the project alone?

A team of 1 chef and 2 kitchen assistants can prepare a banquet meal in 12 hours. On the other hand, 1 chef and 4 kitchen assistants can prepare the same meal in 8 hours. In how many hours can 2 chefs and 2 kitchen assistants prepare the meal?