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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 160 · 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 can finish a job in 6 days and Zoya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Manav and Aarav together finish a job in 3 days. Manav alone takes 4 days. How many days would Aarav take alone?
  3. 3.Rohan can finish a job in 7 days and Ishaan in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Kavya can finish a job in 15 days and Aditya in 10 days. Kavya works alone for 3 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  5. 5.Saanvi can finish a job in 6 days and Dev in 21 days. Saanvi works alone for 2 days and then stops. Dev finishes the rest. How many days does Dev take?
  6. 6.Manav can finish a job in 10 days and Diya in 20 days. Manav works alone for 1 day and then stops. Diya finishes the rest. How many days does Diya take?
  7. 7.Ishaan works twice as fast as Aarav. Together they finish a job in 3 days. How many days would Aarav take alone?
  8. 8.Vivaan and Arjun together finish a job in 13 days. Vivaan alone takes 26 days. How many days would Arjun take alone?
  9. 9.Kavya works twice as fast as Arjun. Together they finish a job in 5 days. How many days would Arjun take alone?
  10. 10.Saanvi can finish a job in 5 days and Aditya in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  11. 11.Farhan can finish a job in 2 days and Vivaan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Vivaan and Kabir together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Kabir take alone?
  13. 13.Priya works twice as fast as Vivaan. Together they finish a job in 4 days. How many days would Vivaan take alone?
  14. 14.Ishaan can finish a job in 8 days and Aarav in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  15. 15.Karan can finish a job in 8 days and Aditya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Farhan and Arjun together finish a job in 11 days. Farhan alone takes 22 days. How many days would Arjun take alone?
  17. 17.Isha works three times as fast as Kavya. Together they finish a job in 11 days. How many days would Kavya take alone?
  18. 18.Zoya can finish a job in 20 days and Diya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Aarav can finish a job in 18 days and Karan in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  20. 20.Isha can finish a job in 8 days and Tara in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Sneha can finish a job in 4 days and Tara in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Rohan can finish a job in 10 days and Arjun in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Meera can finish a job in 13 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. =
  24. 24.Karan can finish a job in 15 days and Kavya in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  25. 25.Farhan can finish a job in 8 days and Dev in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Nisha can finish a job in 16 days and Manav in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Pooja can finish a job in 4 days and Arjun in 8 days. Pooja works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  28. 28.Sneha can finish a job in 2 days and Nisha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Farhan can finish a job in 9 days and Dev in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Kavya can finish a job in 14 days and Saanvi in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Aditya can finish a job in 11 days and Sneha in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Kavya works twice as fast as Isha. Together they finish a job in 4 days. How many days would Isha take alone?
  33. 33.Pooja and Rohan together finish a job in 2 days. Pooja alone takes 4 days. How many days would Rohan take alone?
  34. 34.Priya can finish a job in 10 days and Tara in 5 days. Priya works alone for 2 days and then stops. Tara finishes the rest. How many days does Tara take?
  35. 35.Pooja works twice as fast as Saanvi. Together they finish a job in 7 days. How many days would Saanvi take alone?
  36. 36.Ishaan can finish a job in 5 days and Kavya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Sneha can finish a job in 5 days and Tara in 25 days. Sneha works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
  38. 38.Farhan works three times as fast as Dev. Together they finish a job in 5 days. How many days would Dev take alone?
  39. 39.Meera and Kabir together finish a job in 6 days. Meera alone takes 8 days. How many days would Kabir take alone?
  40. 40.Vivaan and Tara together finish a job in 2 days. Vivaan alone takes 6 days. How many days would Tara take alone?

Answer key

  1. 2
  2. 12
  3. 24/119
  4. 8
  5. 14
  6. 18
  7. 9
  8. 26
  9. 15
  10. 23/45
  11. 4/3
  12. 6
  13. 12
  14. 9/20
  15. 40/9
  16. 22
  17. 44
  18. 4
  19. 25/42
  20. 27/152
  21. 60/19
  22. 190/29
  23. 221/30
  24. 7/20
  25. 13/24
  26. 304/35
  27. 2
  28. 6/5
  29. 45/14
  30. 70/19
  31. 20/33
  32. 12
  33. 4
  34. 4
  35. 21
  36. 15/8
  37. 20
  38. 20
  39. 24
  40. 3

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