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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 72 · 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.Kabir and Meera together finish a job in 2 days. Kabir alone takes 4 days. How many days would Meera take alone?
  2. 2.Diya can finish a job in 15 days and Tara in 30 days. Diya works alone for 10 days and then stops. Tara finishes the rest. How many days does Tara take?
  3. 3.Priya and Aditya together finish a job in 3 days. Priya alone takes 4 days. How many days would Aditya take alone?
  4. 4.Aditya and Kavya together finish a job in 10 days. Aditya alone takes 14 days. How many days would Kavya take alone?
  5. 5.Karan and Dev together finish a job in 5 days. Karan alone takes 6 days. How many days would Dev take alone?
  6. 6.Ananya and Isha together finish a job in 5 days. Ananya alone takes 10 days. How many days would Isha take alone?
  7. 7.Diya can finish a job in 9 days and Sneha in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Dev can finish a job in 11 days and Karan in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  9. 9.Sneha can finish a job in 18 days and Manav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Ananya can finish a job in 2 days and Karan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Rahul can finish a job in 16 days and Zoya in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  12. 12.Zoya works three times as fast as Diya. Together they finish a job in 12 days. How many days would Diya take alone?
  13. 13.Rohan can finish a job in 25 days and Manav in 15 days. Rohan works alone for 5 days and then stops. Manav finishes the rest. How many days does Manav take?
  14. 14.Rahul can finish a job in 18 days and Ananya in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  15. 15.Sneha works twice as fast as Rohan. Together they finish a job in 5 days. How many days would Rohan take alone?
  16. 16.Isha and Tara together finish a job in 13 days. Isha alone takes 26 days. How many days would Tara take alone?
  17. 17.Pooja can finish a job in 6 days and Manav in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Isha can finish a job in 11 days and Priya in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  19. 19.Ananya and Aditya together finish a job in 10 days. Ananya alone takes 30 days. How many days would Aditya take alone?
  20. 20.Ishaan and Diya together finish a job in 2 days. Ishaan alone takes 4 days. How many days would Diya take alone?
  21. 21.Priya and Rohan together finish a job in 3 days. Priya alone takes 4 days. How many days would Rohan take alone?
  22. 22.Kabir can finish a job in 6 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. =
  23. 23.Ananya can finish a job in 25 days and Kabir in 5 days. Ananya works alone for 5 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  24. 24.Ishaan can finish a job in 19 days and Saanvi in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Aarav can finish a job in 15 days and Nisha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Tara can finish a job in 5 days and Zoya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Tara can finish a job in 28 days and Nisha in 7 days. Tara works alone for 16 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  28. 28.Diya and Nisha together finish a job in 3 days. Diya alone takes 6 days. How many days would Nisha take alone?
  29. 29.Kavya can finish a job in 20 days and Diya in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Karan and Meera together finish a job in 10 days. Karan alone takes 14 days. How many days would Meera take alone?
  31. 31.Isha can finish a job in 9 days and Nisha in 18 days. Isha works alone for 4 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  32. 32.Sneha can finish a job in 6 days and Farhan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Ananya works twice as fast as Aditya. Together they finish a job in 3 days. How many days would Aditya take alone?
  34. 34.Nisha works three times as fast as Aditya. Together they finish a job in 4 days. How many days would Aditya take alone?
  35. 35.Ananya and Nisha together finish a job in 7 days. Ananya alone takes 8 days. How many days would Nisha take alone?
  36. 36.Tara can finish a job in 9 days and Aarav in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Isha works three times as fast as Saanvi. Together they finish a job in 12 days. How many days would Saanvi take alone?
  38. 38.Kavya can finish a job in 8 days and Nisha in 12 days. Kavya works alone for 6 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  39. 39.Rohan can finish a job in 10 days and Sneha in 15 days. Rohan works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  40. 40.Pooja and Karan together finish a job in 2 days. Pooja alone takes 3 days. How many days would Karan take alone?

Answer key

  1. 4
  2. 10
  3. 12
  4. 35
  5. 30
  6. 10
  7. 171/28
  8. 90/209
  9. 9/2
  10. 20/11
  11. 5/8
  12. 48
  13. 12
  14. 25/42
  15. 15
  16. 26
  17. 2
  18. 31/110
  19. 15
  20. 4
  21. 12
  22. 12/5
  23. 4
  24. 209/30
  25. 30/7
  26. 55/16
  27. 3
  28. 6
  29. 19/60
  30. 35
  31. 10
  32. 30/11
  33. 9
  34. 16
  35. 56
  36. 1/6
  37. 48
  38. 3
  39. 12
  40. 6

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