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.
Q66. A team of 8 workers can finish a work in 8 hours, working together. The team of 8 started working at 8:00 AM and from 11:00 AM onwards, one worker was added to the team every hour. The entire work will be completed at:
Q67. Anil takes 40% more time than Amar to finish a job. Amar and Afzal together finish the same job in one-third of the time taken by Anil alone to do the same. If all three work together, they will take 90 hours less time to finish the job than that taken by Anil alone. The time taken by Afzal to finish the job alone, in hours, is:
Q68. Hari started work and Paban joined him after 6 days. The work was completed on the end of 18th day from the day Hari started working. If both of them started together, the work would have been completed in 15 days. Working alone, the time Paban would have taken, in days, to complete the work is:
Q69. Birbal takes 20% more time to complete a job than Akbar. They finish a job in the following manner: Akbar and Birbal work on alternate days for the first 6 days, then Akbar alone works for 2 days, and finally Birbal works alone for 3 days to finish the job. What percentage of the total job was finished by Akbar?
Q70. Niraj can weave a handloom saree in 14 days whereas Shravan can weave it in 12 days. If Hira joins them, a saree can be woven in 6 days. A total of Rs 2100 is paid for weaving a saree. If all of them are working together and everybody is paid in proportion to the work done by him, then the amount, in INR, received by Hira is:
Q71. Sandeep and Ganesh can complete a piece of work in 30 days and 20 days respectively. Both of them work for 6 days and then Ganesh leaves. Now Tarun, who can complete the same work in 15 days joins Sandeep to complete the remaining work. In how many total days was the total work completed?
Q72. Ten inlet pipes of same capacity fill a tank in same time in which ‘a’ outlet pipes of same capacity can empty it. Alternatively, 4 inlet and 2 outlet pipes is opened for first minute and 8 inlet and 4 outlet pipes open for 2nd minute and process continues till tank is completely filled in 30 minutes. If the time in which 2 outlet pipes can empty the completely filled tank is 72 minutes, then what is the value of ‘a’?
Q73. A completes 2/3 of a certain job in 12 days. B can complete 1/3 of the same job in 10 days and C can complete 3/4 of the work in 15 days. All of them work together for 6 days and then B and C quit. How long (in days) will it take for A to complete the remaining work alone?
Q74. Four persons Prabhat, Kamal, Ryan and Usman can complete a work in 9, 12, 15 and 20 days respectively. One of them starts the work and it is continued on a rotation basis, with all the four taking turns and only one person working per day. Any one of the four can start work on the first day. Which of the following is the complete set of people, who can work on the first day such that the work begins and ends with the same person?
Q75. Pipes A and B are inlet pipes while pipe C is an outlet pipe. Pipe A supplies water at 45 liters/hour. Pipe B can fill a tank in 3 hours while pipe C can empty it in 12 hours. All the pipes are simultaneously opened and the tank gets filled in 1 hour. What is the rate of flow of pipe B?
Q76. Three persons A, B and C working alone can complete a piece of work in 16 days, 24 days and 20 days respectively. Every day B works half a day with A, who works full day, while C works 2/3rd day. After 8 days A and C stop working, then how much time (in days) will take by B to complete the remaining work while working for 2/5th day?
Q77. Anu takes 5 days to complete a job. Binu takes twice the time as Anu to complete the job. Chinu takes twice the time as Binu to complete the job. Dinu takes twice the time as Chinu to complete the job. Two of the four when working together take 25% of the time to complete the job that the other two would take working together. Find the faster pair.
Q78. Raman can complete a job in 18 days and Aman can complete it in 24 days. Aman, Raman and Boman together can complete the same job in 8 days. A total sum of Rs. 9000 is paid to three of them as remuneration. If this amount is shared by them in proportion to their work, then Boman’s share, in rupees, is:
Q79. A project can be completed by ten workers in a certain number of days. If there were two workers less, it would have taken three more days to complete the project. If one worker starts the project and every day a new worker joins, then in how many days will the project be completed?
Q80. Aman, Bhaskar takes a, b days to complete a job independently. If they take turns to work independently on the job, on alternate days the task is completed in 8 days. If a + b > 20 days, find the time taken by Bhaskar to finish the task if he is the slower among the two.
Q81. A group comprising some women and men can complete a piece of work in 96 days. If a man in the group is replaced by a woman, the resulting group can complete the same work in 72 days. If two men in the original group are replaced by two women, then in how many days can the resulting group complete the work?
Q82. Anuj can complete a piece of work in 8 days, Bhanu in 12 days and Chetan in 16 days. All of them started the work together but Chetan left when he realised that the remaining work will be completed without him in the next three days, and Bhanu left when he realised that the remaining work will be completed without him in the next two days. Find the total number of days taken to complete the work.
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