Time and Work – Level 2 (PYQs)
- IIMwalaBanda
- Aug 1
- 4 min read
Q1. 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 [CAT 2024, Slot 1]
(TITA – enter the numeric answer; no options given)
Q2. 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 [CAT 2024, Slot 2]
(TITA – enter the numeric answer; no options given)
Q3. 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 the 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 [CAT 2024, Slot 3]
(a) 1/5
(b) 3/10
(c) 1/20
(d) 3/20
Q4. The amount of work 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 work. 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 [CAT 2023, Slot 1]
(TITA – enter the numeric answer; no options given)
Q5. 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 [CAT 2023, Slot 2]
(a) 60
(b) 90
(c) 75
(d) 120
Q6. 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 [CAT 2023, Slot 3]
(a) 21
(b) 17
(c) 16
(d) 20
Q7. 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 [CAT 2023, Slot 3]
(TITA – enter the numeric answer; no options given)
Q8. 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 [CAT 2022, Slot 2]
(TITA – enter the numeric answer; no options given)
Q9. 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 [CAT 2022, Slot 3]
(a) 23
(b) 140
(c) 36
(d) 150
Q10. 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 [CAT 2022, Slot 3]
(TITA – enter the numeric answer; no options given)
Scroll to the bottom for answer key and visit @iimwalabanda YouTube page for video solution
Answer Key
Correct Option | |
Q1 | TITA (6) |
Q2 | TITA (139) |
Q3 | B (3/10) |
Q4 | TITA (27) |
Q5 | B (90) |
Q6 | A (21) |
Q7 | TITA (36) |
Q8 | TITA (6) |
Q9 | B (140) |
Q10 | TITA (11) |
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