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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 51 · 40 questions
TalentJR

The method (LCM units): Take the whole job as the LCM of the days. Units a day for each person = job ÷ their days. Add for working together. Days = job ÷ units a day. The answer can be a fraction like 20/9 days. Someone works a few days and stops: find what is left, then share it out.

NameDateTime takenScore ___ / 40
  1. 1.Aditya can finish a job in 6 days and Ishaan in 18 days. Aditya works alone for 2 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  2. 2.Sneha can finish a job in 14 days and Nisha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Rahul can finish a job in 15 days and Dev in 5 days. Rahul works alone for 6 days and then stops. Dev finishes the rest. How many days does Dev take?
  4. 4.Meera can finish a job in 19 days and Zoya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Aarav can finish a job in 18 days and Diya in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  6. 6.Nisha can finish a job in 14 days and Saanvi in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  7. 7.Diya and Zoya together finish a job in 10 days. Diya alone takes 14 days. How many days would Zoya take alone?
  8. 8.Kavya can finish a job in 9 days and Tara in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Karan can finish a job in 17 days and Ananya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Arjun can finish a job in 5 days and Sneha in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  11. 11.Ananya and Rohan together finish a job in 7 days. Ananya alone takes 14 days. How many days would Rohan take alone?
  12. 12.Farhan can finish a job in 19 days and Rahul in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Ananya works three times as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
  14. 14.Aarav can finish a job in 19 days and Ishaan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Kavya and Rohan together finish a job in 5 days. Kavya alone takes 6 days. How many days would Rohan take alone?
  16. 16.Ananya can finish a job in 3 days and Ishaan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Diya and Aarav together finish a job in 2 days. Diya alone takes 3 days. How many days would Aarav take alone?
  18. 18.Kavya can finish a job in 16 days and Priya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Zoya works twice as fast as Manav. Together they finish a job in 2 days. How many days would Manav take alone?
  20. 20.Arjun can finish a job in 19 days and Diya in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Pooja can finish a job in 9 days and Aditya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Pooja can finish a job in 6 days and Vivaan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Rahul can finish a job in 15 days and Meera in 24 days. Rahul works alone for 10 days and then stops. Meera finishes the rest. How many days does Meera take?
  24. 24.Rohan and Karan together finish a job in 6 days. Rohan alone takes 8 days. How many days would Karan take alone?
  25. 25.Meera can finish a job in 8 days and Kabir in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Rohan can finish a job in 12 days and Pooja in 30 days. Rohan works alone for 10 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  27. 27.Aditya can finish a job in 14 days and Arjun in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  28. 28.Karan can finish a job in 19 days and Ananya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Saanvi works three times as fast as Zoya. Together they finish a job in 5 days. How many days would Zoya take alone?
  30. 30.Manav and Tara together finish a job in 2 days. Manav alone takes 3 days. How many days would Tara take alone?
  31. 31.Saanvi and Dev together finish a job in 8 days. Saanvi alone takes 10 days. How many days would Dev take alone?
  32. 32.Zoya can finish a job in 12 days and Meera in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Arjun can finish a job in 10 days and Zoya in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  34. 34.Vivaan can finish a job in 15 days and Dev in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Rahul can finish a job in 13 days and Saanvi in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Saanvi can finish a job in 5 days and Vivaan in 20 days. Saanvi works alone for 3 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  37. 37.Meera and Karan together finish a job in 6 days. Meera alone takes 9 days. How many days would Karan take alone?
  38. 38.Kabir can finish a job in 30 days and Priya in 20 days. Kabir works alone for 21 days and then stops. Priya finishes the rest. How many days does Priya take?
  39. 39.Karan and Pooja together finish a job in 5 days. Karan alone takes 10 days. How many days would Pooja take alone?
  40. 40.Farhan can finish a job in 8 days and Meera in 16 days. Farhan works alone for 7 days and then stops. Meera finishes the rest. How many days does Meera take?

Answer key

  1. 12
  2. 28/9
  3. 3
  4. 95/24
  5. 35/153
  6. 9/14
  7. 35
  8. 9/4
  9. 272/33
  10. 48/95
  11. 14
  12. 76/23
  13. 16
  14. 114/25
  15. 30
  16. 5/2
  17. 6
  18. 208/29
  19. 6
  20. 117/380
  21. 72/17
  22. 66/17
  23. 8
  24. 24
  25. 152/27
  26. 5
  27. 17/140
  28. 285/34
  29. 20
  30. 6
  31. 40
  32. 156/25
  33. 27/40
  34. 240/31
  35. 64/247
  36. 8
  37. 18
  38. 6
  39. 10
  40. 2

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