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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 480 · 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.Sneha and Rohan together finish a job in 2 days. Sneha alone takes 3 days. How many days would Rohan take alone?
  2. 2.Kabir can finish a job in 12 days and Saanvi in 24 days. Kabir works alone for 1 day and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  3. 3.Diya can finish a job in 24 days and Manav in 6 days. Diya works alone for 16 days and then stops. Manav finishes the rest. How many days does Manav take?
  4. 4.Saanvi can finish a job in 3 days and Priya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Sneha can finish a job in 16 days and Ananya in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  6. 6.Kabir works three times as fast as Isha. Together they finish a job in 4 days. How many days would Isha take alone?
  7. 7.Ananya can finish a job in 16 days and Zoya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Karan can finish a job in 5 days and Dev in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Tara can finish a job in 18 days and Isha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Priya can finish a job in 4 days and Zoya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Aarav can finish a job in 6 days and Diya in 18 days. Aarav works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  12. 12.Karan can finish a job in 12 days and Sneha in 14 days. Karan works alone for 6 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  13. 13.Kavya can finish a job in 3 days and Nisha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Saanvi and Vivaan together finish a job in 2 days. Saanvi alone takes 3 days. How many days would Vivaan take alone?
  15. 15.Ishaan and Priya together finish a job in 5 days. Ishaan alone takes 6 days. How many days would Priya take alone?
  16. 16.Kabir can finish a job in 8 days and Isha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Rohan and Zoya together finish a job in 10 days. Rohan alone takes 30 days. How many days would Zoya take alone?
  18. 18.Ananya can finish a job in 19 days and Nisha in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  19. 19.Ananya can finish a job in 4 days and Manav in 10 days. Ananya works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  20. 20.Ananya can finish a job in 4 days and Dev in 12 days. Ananya works alone for 1 day and then stops. Dev finishes the rest. How many days does Dev take?
  21. 21.Kabir and Arjun together finish a job in 5 days. Kabir alone takes 6 days. How many days would Arjun take alone?
  22. 22.Nisha works three times as fast as Karan. Together they finish a job in 12 days. How many days would Karan take alone?
  23. 23.Sneha works twice as fast as Farhan. Together they finish a job in 12 days. How many days would Farhan take alone?
  24. 24.Zoya and Priya together finish a job in 4 days. Zoya alone takes 5 days. How many days would Priya take alone?
  25. 25.Manav can finish a job in 14 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. =
  26. 26.Aditya works twice as fast as Rohan. Together they finish a job in 11 days. How many days would Rohan take alone?
  27. 27.Rohan and Isha together finish a job in 13 days. Rohan alone takes 26 days. How many days would Isha take alone?
  28. 28.Arjun works three times as fast as Ishaan. Together they finish a job in 2 days. How many days would Ishaan take alone?
  29. 29.Diya can finish a job in 13 days and Arjun in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Aditya can finish a job in 16 days and Saanvi in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Isha can finish a job in 4 days and Priya in 28 days. Isha works alone for 3 days and then stops. Priya finishes the rest. How many days does Priya take?
  32. 32.Farhan and Ishaan together finish a job in 4 days. Farhan alone takes 8 days. How many days would Ishaan take alone?
  33. 33.Diya can finish a job in 12 days and Nisha in 21 days. Diya works alone for 4 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  34. 34.Manav can finish a job in 12 days and Kavya in 30 days. Manav works alone for 10 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  35. 35.Rohan can finish a job in 3 days and Saanvi in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Nisha works three times as fast as Aarav. Together they finish a job in 9 days. How many days would Aarav take alone?
  37. 37.Aditya can finish a job in 5 days and Sneha in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Manav and Kabir together finish a job in 3 days. Manav alone takes 4 days. How many days would Kabir take alone?
  39. 39.Meera can finish a job in 7 days and Dev in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  40. 40.Vivaan and Ananya together finish a job in 10 days. Vivaan alone takes 14 days. How many days would Ananya take alone?

Answer key

  1. 6
  2. 22
  3. 2
  4. 5/2
  5. 25/144
  6. 16
  7. 304/35
  8. 10/7
  9. 306/35
  10. 3
  11. 12
  12. 7
  13. 51/20
  14. 6
  15. 30
  16. 16/3
  17. 15
  18. 64/247
  19. 5
  20. 9
  21. 30
  22. 48
  23. 36
  24. 20
  25. 56/11
  26. 33
  27. 26
  28. 8
  29. 52/17
  30. 5/16
  31. 7
  32. 8
  33. 14
  34. 5
  35. 2
  36. 36
  37. 70/19
  38. 12
  39. 51/70
  40. 35

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