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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 62 · 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.Aarav and Meera together finish a job in 2 days. Aarav alone takes 3 days. How many days would Meera take alone?
  2. 2.Aarav can finish a job in 12 days and Ananya in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Ananya can finish a job in 14 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. =
  4. 4.Isha and Manav together finish a job in 21 days. Isha alone takes 28 days. How many days would Manav take alone?
  5. 5.Meera works three times as fast as Rohan. Together they finish a job in 8 days. How many days would Rohan take alone?
  6. 6.Kabir can finish a job in 18 days and Zoya in 12 days. Kabir works alone for 15 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  7. 7.Dev and Aarav together finish a job in 2 days. Dev alone takes 3 days. How many days would Aarav take alone?
  8. 8.Kavya can finish a job in 8 days and Priya in 16 days. Kavya works alone for 1 day and then stops. Priya finishes the rest. How many days does Priya take?
  9. 9.Dev can finish a job in 12 days and Aarav in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Meera works twice as fast as Priya. Together they finish a job in 4 days. How many days would Priya take alone?
  11. 11.Nisha and Rohan together finish a job in 4 days. Nisha alone takes 6 days. How many days would Rohan take alone?
  12. 12.Saanvi can finish a job in 19 days and Kabir in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Ishaan and Zoya together finish a job in 2 days. Ishaan alone takes 3 days. How many days would Zoya take alone?
  14. 14.Aditya can finish a job in 14 days and Meera in 28 days. Aditya works alone for 4 days and then stops. Meera finishes the rest. How many days does Meera take?
  15. 15.Karan works twice as fast as Aditya. Together they finish a job in 3 days. How many days would Aditya take alone?
  16. 16.Ananya works three times as fast as Manav. Together they finish a job in 6 days. How many days would Manav take alone?
  17. 17.Vivaan can finish a job in 12 days and Ishaan in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  18. 18.Priya and Kavya together finish a job in 4 days. Priya alone takes 5 days. How many days would Kavya take alone?
  19. 19.Arjun works three times as fast as Karan. Together they finish a job in 3 days. How many days would Karan take alone?
  20. 20.Dev and Tara together finish a job in 5 days. Dev alone takes 6 days. How many days would Tara take alone?
  21. 21.Priya and Zoya together finish a job in 7 days. Priya alone takes 8 days. How many days would Zoya take alone?
  22. 22.Farhan can finish a job in 14 days and Manav in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Rohan can finish a job in 18 days and Sneha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Aarav can finish a job in 9 days and Rohan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Ishaan and Saanvi together finish a job in 5 days. Ishaan alone takes 6 days. How many days would Saanvi take alone?
  26. 26.Karan can finish a job in 4 days and Kabir in 28 days. Karan works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  27. 27.Manav can finish a job in 14 days and Kabir in 20 days. Manav works alone for 7 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  28. 28.Zoya works three times as fast as Ishaan. Together they finish a job in 9 days. How many days would Ishaan take alone?
  29. 29.Ananya can finish a job in 14 days and Ishaan in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  30. 30.Saanvi can finish a job in 24 days and Dev in 4 days. Saanvi works alone for 12 days and then stops. Dev finishes the rest. How many days does Dev take?
  31. 31.Diya can finish a job in 7 days and Ishaan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Karan can finish a job in 11 days and Rahul in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Arjun can finish a job in 13 days and Ishaan in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  34. 34.Karan can finish a job in 14 days and Vivaan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Aarav can finish a job in 8 days and Pooja in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Vivaan and Saanvi together finish a job in 10 days. Vivaan alone takes 14 days. How many days would Saanvi take alone?
  37. 37.Kabir can finish a job in 19 days and Karan in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Vivaan and Farhan together finish a job in 6 days. Vivaan alone takes 18 days. How many days would Farhan take alone?
  39. 39.Vivaan can finish a job in 3 days and Nisha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Diya works twice as fast as Zoya. Together they finish a job in 7 days. How many days would Zoya take alone?

Answer key

  1. 6
  2. 31/228
  3. 266/33
  4. 84
  5. 32
  6. 2
  7. 6
  8. 14
  9. 15/2
  10. 12
  11. 12
  12. 266/33
  13. 6
  14. 20
  15. 9
  16. 24
  17. 7/12
  18. 20
  19. 12
  20. 30
  21. 56
  22. 112/15
  23. 198/29
  24. 180/29
  25. 30
  26. 14
  27. 10
  28. 36
  29. 5/21
  30. 2
  31. 63/16
  32. 19/88
  33. 36/65
  34. 182/27
  35. 27/76
  36. 35
  37. 69/76
  38. 9
  39. 33/14
  40. 21

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