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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 433 · 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.Ishaan can finish a job in 10 days and Meera in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Rohan works twice as fast as Kavya. Together they finish a job in 3 days. How many days would Kavya take alone?
  3. 3.Pooja and Kabir together finish a job in 2 days. Pooja alone takes 6 days. How many days would Kabir take alone?
  4. 4.Kavya can finish a job in 12 days and Pooja in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  5. 5.Rohan can finish a job in 17 days and Vivaan in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  6. 6.Tara can finish a job in 10 days and Rohan in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Priya can finish a job in 4 days and Ishaan in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  8. 8.Diya can finish a job in 14 days and Zoya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Zoya can finish a job in 12 days and Diya in 28 days. Zoya works alone for 9 days and then stops. Diya finishes the rest. How many days does Diya take?
  10. 10.Aditya can finish a job in 15 days and Farhan in 12 days. Aditya works alone for 10 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  11. 11.Meera can finish a job in 18 days and Zoya in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Diya can finish a job in 10 days and Aditya in 5 days. Diya works alone for 4 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  13. 13.Rohan and Sneha together finish a job in 2 days. Rohan alone takes 3 days. How many days would Sneha take alone?
  14. 14.Aditya can finish a job in 10 days and Ananya in 20 days. Aditya works alone for 5 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  15. 15.Rohan can finish a job in 28 days and Isha in 26 days. Rohan works alone for 14 days and then stops. Isha finishes the rest. How many days does Isha take?
  16. 16.Manav works twice as fast as Aarav. Together they finish a job in 9 days. How many days would Aarav take alone?
  17. 17.Arjun can finish a job in 5 days and Saanvi in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Diya works three times as fast as Aarav. Together they finish a job in 9 days. How many days would Aarav take alone?
  19. 19.Pooja works three times as fast as Saanvi. Together they finish a job in 11 days. How many days would Saanvi take alone?
  20. 20.Rahul can finish a job in 5 days and Tara in 30 days. Rahul works alone for 4 days and then stops. Tara finishes the rest. How many days does Tara take?
  21. 21.Saanvi and Rahul together finish a job in 2 days. Saanvi alone takes 3 days. How many days would Rahul take alone?
  22. 22.Karan can finish a job in 20 days and Meera in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Isha can finish a job in 7 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. =
  24. 24.Tara and Aditya together finish a job in 4 days. Tara alone takes 5 days. How many days would Aditya take alone?
  25. 25.Priya and Kavya together finish a job in 3 days. Priya alone takes 6 days. How many days would Kavya take alone?
  26. 26.Karan can finish a job in 6 days and Dev in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Diya can finish a job in 4 days and Rahul in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Manav can finish a job in 5 days and Aditya in 25 days. Manav works alone for 1 day and then stops. Aditya finishes the rest. How many days does Aditya take?
  29. 29.Sneha can finish a job in 11 days and Ananya in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Diya can finish a job in 15 days and Karan in 25 days. Diya works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
  31. 31.Nisha can finish a job in 10 days and Ishaan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Sneha can finish a job in 14 days and Kavya in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  33. 33.Manav can finish a job in 9 days and Meera in 27 days. Manav works alone for 6 days and then stops. Meera finishes the rest. How many days does Meera take?
  34. 34.Manav and Rahul together finish a job in 2 days. Manav alone takes 6 days. How many days would Rahul take alone?
  35. 35.Aditya can finish a job in 8 days and Pooja in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Saanvi can finish a job in 17 days and Arjun in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Saanvi and Ishaan together finish a job in 3 days. Saanvi alone takes 6 days. How many days would Ishaan take alone?
  38. 38.Arjun works three times as fast as Pooja. Together they finish a job in 4 days. How many days would Pooja take alone?
  39. 39.Kabir can finish a job in 16 days and Pooja in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  40. 40.Nisha and Farhan together finish a job in 10 days. Nisha alone takes 30 days. How many days would Farhan take alone?

Answer key

  1. 15/4
  2. 9
  3. 3
  4. 5/18
  5. 29/68
  6. 13/80
  7. 23/38
  8. 21/5
  9. 7
  10. 4
  11. 31/78
  12. 3
  13. 6
  14. 10
  15. 13
  16. 27
  17. 3/10
  18. 36
  19. 44
  20. 6
  21. 6
  22. 180/19
  23. 140/27
  24. 20
  25. 6
  26. 2
  27. 8/3
  28. 20
  29. 29/66
  30. 20
  31. 20/3
  32. 12/35
  33. 9
  34. 3
  35. 7/20
  36. 30/221
  37. 6
  38. 16
  39. 99/272
  40. 15

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