Time and Work is a high-frequency and high-impact topic in Arithmetic for CAT 2026, with repeated appearances across CAT Quant sections in various formats. This page includes targeted CAT arithmetic important questions covering individual work rates, pipe and cistern problems, and combined efficiency-based applications. These are designed around repeated CAT concepts for exam-level practice and conceptual clarity.
101. Four inkjet printers and two dot-matrix printers completes a certain job in 60% time taken by three inkjet printers and one dot-matrix printer to finish the same job. How much more/less time will 9 inkjet printers take as compared to 3 dot-matrix printers take to finish another job?
102. Harish takes 35 minutes to sew a flannel shirt. He gets Rs. 55 to stitch one flannel shirt up to 15 shirts in a day. If he stiches more than 15 shirts, he gets Rs. 115 for every extra shirt. He takes a break of 5 minutes after sewing one lot of 5 shirts. One day he gets Rs. 1400 for sewing few shirts. If he does not take any break other than the break mentioned earlier, after how much time (in minutes) he must have finished sewing the last shirt that day?
103. A tank has an inlet pipe as well as an outlet pipe. If only inlet pipe is opened, initially empty tank is completely filled in 8 hours. On the other hand, if both the pipes are opened, initially empty tank is completely filled in 10 hours. Raju started the inlet pipe for filling the empty tank. However, when the tank was half filled, someone started the outlet pipe by mistake. How much more time (in minutes) would it take to completely fill the tank than the time taken if only inlet pipe was opened?
104. Inlet A fills 20% of a tank in 10 minutes while inlet B fills 60% of the tank in 15 minutes. How much time is required to fill the empty tank, if both the inlets are opened simultaneously?
105. A, B, C and D are four workers in a factory that manufactures screws. A is twice as efficient as B, while B is thrice as efficient as C. A team of two workers is assigned the job of making 100 screws. The factory owner makes two teams- A and C work together as the first team while B and D work together as the second team. Which of the following can be the ratio of efficiency of D to that of A, if one team completes the assignment of making 100 screws in half the time taken by the other team?
106. Three women and two girls can do a piece of work in 8 days and four women and five girls can do the same work in 5 days. In how many days can 8 women and 2 girls do half the work?
107. It takes 11 workers a total of 5 hours to complete a project, with each working at the same rate. If five workers start at 8.00 AM, and one worker per hour joins them from 1:00 PM, then at what time will the project get over?
108. Three friends A, B and C can solve a set of 600 questions each in 10 hrs, 15 hrs and 20 hrs respectively. The set of 600 questions is divided into two equal parts. A and B start solving the first 300 questions and C starts solving the last 300 questions. After 2 hrs A joins C and B is left alone with the first half. What is the time difference (in minutes) between the completion of the first and last half of the set?
109. A woman does two-thirds of the work in a day as a man and a child does one-fourths of the work in a day as a man. A farmer hires 30 men, women and children in the ratio 7: 5: 3 and pays them in all Rs. 23,940 at the end of the day’s work. If the wages are proportional to the work done, then what must be the daily wages (in Rs.) of a child?
110. A certain tank has two pipes A and B that can either fill it or empty it at the same respective rates depending on the requirements. If pipe A alone is used to fill the tank for the time that both pipes together take to fill the tank, then 3/4th of the tank would be full. On a certain day, the tank is empty and pipe A is used to fill it while B is used to empty it. What percent of the tank will be empty in half the time it takes to fill the tank by both pipes together when they are used for filling?
111. A group of employees working together at the same rate can complete a project in 45 hours. When the work started, all employees did not start working together. They joined the work over a period of time, one by one, at equal intervals. Once at work, each one stayed till the work was complete. If the first employee worked 5 times as many hours as the last employee, for how many hours did the first employee work?
112. Tara, Mira and Sara completed some work together in 30 days and received a total payment of Rs. 45,000. Tara took one-fifth of the total money, Mira took one-third and Sara took the remaining. In how many days could Tara and Sara complete the work if Mira was not working?
113. To do a certain task Bihaan would take twice as long as Armaan and Rehmaan together; and Rehmaan would take 3 times as long as Armaan and Bihaan together. Three of them together can complete the task in 14 hours. How much time (in hours) is taken by Bihaan and Rehmaan to complete the task?
114. Three workers A, B and C are appointed to do a job. They started the job together but C leaves after 4 days when 44% of the job is done. The remaining job is completed by A and B in 8 days. Find the number of days required by C to complete the entire job alone?
115. Two pipes A and B can fill a tank in 12 minutes and 24 minutes respectively. The tank also has two holes, one at half the height and the second at 3/4th the height from bottom which could empty the tank (if they were at the bottom of the tank) in 40 minutes and 60 minutes respectively. If the tank is initially empty and the two pipes A and B are opened simultaneously, in how much time (in minutes) will the tank be full?
116. Abhilash, Avinash and Akhilesh can complete a work alone in 20 days, 12 days and 30 days, respectively. Abhilash only works alternate days starting from the first day. Akhilesh only works on alternate days starting from second day. Avinash works every day. Then, the number of days taken to complete the work is:
117. Raghu does 60% of a piece of work in 18 days. Later, with Shambhu’s help, he completes the remaining work in 6 days. In how many days can Shambhu complete 70% of the work?
118. Three friends Paras, Rajat, and Sanjay can paint a wall individually in 180 minutes, 150 minutes and 60 minutes respectively. The three of them started painting the wall at 12 noon. At 12:20 PM Sanjay left and after another half an hour Rajat also left, leaving Paras alone to do the remaining work. At what time did Paras finish the job?
119. A group containing 2 men and 2 women can complete a piece of work in 30 days. Four men and nine women can complete the work in 10 days. In how many days will 10 men and 15 women complete the work?
120. Two pipes A and B can completely fill a water tank in 6 hours and 7 hours respectively and pipe C can empty a tank filled completely with water in 5 hours. Initially the tank is empty and all the pipes are closed. Pipe A is opened first at time t = 0 and pipe C is opened at the instant when the tank is exactly half filled with water. Pipe B is opened after pipe C and at the instant when the tank is exactly one-fourth filled with water. Find the total time (in hours) taken to fill the tank completely counting from t = 0.
121. Rajiv can do a piece of work in 15 days working 8 hours per day. If Sanjiv works with three-fifth of the efficiency with which his friend Rajiv works, then in how many days can Sanjiv do the same piece of work, working 10 hours per day?
122. A group of workers having equal efficiency can complete a job in 5 days. But it so happens that on every alternate day starting from the second day, 3 workers are withdrawn from the job and every alternate day starting from the third day 2 workers are added to the group. If it now takes 8 days to complete the job, find the number of workers who started the job.
123. In all 4 adults and 6 children can complete a piece of work in 8 days. If 3 adults and 15 children work, they can complete the same piece of work in 6 days. What is the ratio of the work done by an adult to that done by a child in one day?
124. Bipasha and Natasha start working on a piece of work. They take turns working, with Bipasha working for 2 days, Natasha for the next 3 days, Bipasha for the next 2 days, Natasha for the next 3 days and so on. Accordingly, the work gets completed in 65 days. Had they instead planned so that Natasha would work for 2 days, Bipasha for the next 3 days, Natasha for the next 2 days, Bipasha for the next 3 days and so on, the work would have been completed in 60 days. How long would Natasha alone take to complete the entire work?
125. Two workers are filling an empty vessel. The capacity of the vessel is 50 cups. Each worker pours a cup of liquid to it in one minute. One worker adds milk while the other naughty worker adds a cup of water after every two cups of milk that he adds. If two workers add a cup of milk/water to the vessels one cup at a time in turns, how many cups of milk will be in the vessel when the vessel is half filled?
126. While working alone, Raja takes 5 more days to complete a job than the number of days taken by Kumar alone. Initially, both Raja and Kumar started working together, but Kumar left work after some days. After that, Raja took 5 days to complete the remaining part of the job. If Raja completed 60% of the job, how many days will Kumar take to complete the same job, if he works alone?
127. Suppose ‘n’ workers with equal efficiency can complete a job in 10 days. Also, (n + 6) workers with 25% higher efficiency can complete the same job in 5 days. If (n ‒ 2) workers with 25% lesser efficiency (as compared to the workers who completed the job in 10 days) can complete the same job in ‘d’ days, which of the following is correct?
128. Pipe A and pipe B can individually fill an empty tank in 36 minutes and 48 minutes respectively. Manisha opened both the pipes at 8:00 PM to fill the tank. But after 12 minutes, pipe B suddenly stopped working due to some technical problem. At what time will the tank become full?
129. Ajay and Babu can finish a task in 6 days working together. If Ajay works at one-third of his normal efficiency and Babu works at twice his normal efficiency, the time required to finish the same task doesn’t change. How many days will Ajay alone take to finish a different task, if Babu alone can finish it in 18 days?
130. Two pumps- a large pump and a small pump simultaneously start filling a completely empty water tank of a building everyday morning at the same time and the tank is completely filled at 2 PM every day. However, on Monday morning, only the large pump was started at the usual time, while the small pump was started two hours later. As a result, the tank was completely filled at 2:40 PM. On Tuesday morning, only the small pump was started at the usual time, while the large pump was started two hours later. At what time would the tank be completely filled?
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