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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 342 · 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.Meera can finish a job in 2 days and Farhan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Tara and Aarav together finish a job in 3 days. Tara alone takes 4 days. How many days would Aarav take alone?
  3. 3.Priya can finish a job in 20 days and Diya in 30 days. Priya works alone for 6 days and then stops. Diya finishes the rest. How many days does Diya take?
  4. 4.Vivaan works twice as fast as Diya. Together they finish a job in 10 days. How many days would Diya take alone?
  5. 5.Dev can finish a job in 6 days and Karan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Priya can finish a job in 16 days and Saanvi in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Rohan works three times as fast as Isha. Together they finish a job in 5 days. How many days would Isha take alone?
  8. 8.Meera can finish a job in 12 days and Diya in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Farhan can finish a job in 12 days and Ananya in 9 days. Farhan works alone for 8 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  10. 10.Vivaan works three times as fast as Karan. Together they finish a job in 3 days. How many days would Karan take alone?
  11. 11.Tara can finish a job in 17 days and Kabir in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Ananya and Nisha together finish a job in 15 days. Ananya alone takes 18 days. How many days would Nisha take alone?
  13. 13.Karan can finish a job in 8 days and Zoya in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  14. 14.Arjun can finish a job in 3 days and Isha in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Nisha and Rahul together finish a job in 2 days. Nisha alone takes 3 days. How many days would Rahul take alone?
  16. 16.Sneha can finish a job in 16 days and Manav in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Nisha can finish a job in 12 days and Farhan in 27 days. Nisha works alone for 4 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  18. 18.Ishaan and Meera together finish a job in 3 days. Ishaan alone takes 4 days. How many days would Meera take alone?
  19. 19.Sneha can finish a job in 16 days and Ananya in 24 days. Sneha works alone for 8 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  20. 20.Nisha can finish a job in 7 days and Farhan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Karan can finish a job in 9 days and Isha in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  22. 22.Arjun can finish a job in 4 days and Ishaan in 8 days. Arjun works alone for 1 day and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  23. 23.Kabir can finish a job in 16 days and Priya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Saanvi can finish a job in 11 days and Aarav in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Karan and Diya together finish a job in 2 days. Karan alone takes 3 days. How many days would Diya take alone?
  26. 26.Diya can finish a job in 9 days and Kabir in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Aarav can finish a job in 20 days and Kavya in 15 days. Aarav works alone for 4 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  28. 28.Kabir can finish a job in 10 days and Rohan in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  29. 29.Priya and Arjun together finish a job in 6 days. Priya alone takes 7 days. How many days would Arjun take alone?
  30. 30.Rohan and Kabir together finish a job in 7 days. Rohan alone takes 8 days. How many days would Kabir take alone?
  31. 31.Tara works three times as fast as Manav. Together they finish a job in 2 days. How many days would Manav take alone?
  32. 32.Tara can finish a job in 15 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. =
  33. 33.Nisha can finish a job in 14 days and Pooja in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Rahul can finish a job in 11 days and Priya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Dev and Nisha together finish a job in 8 days. Dev alone takes 10 days. How many days would Nisha take alone?
  36. 36.Ananya can finish a job in 30 days and Arjun in 18 days. Ananya works alone for 15 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  37. 37.Vivaan can finish a job in 5 days and Rohan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Diya works twice as fast as Farhan. Together they finish a job in 9 days. How many days would Farhan take alone?
  39. 39.Diya can finish a job in 20 days and Dev in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  40. 40.Diya works three times as fast as Farhan. Together they finish a job in 11 days. How many days would Farhan take alone?

Answer key

  1. 30/17
  2. 12
  3. 21
  4. 30
  5. 24/7
  6. 11/48
  7. 20
  8. 19/84
  9. 3
  10. 12
  11. 119/24
  12. 90
  13. 9/16
  14. 30/13
  15. 6
  16. 80/21
  17. 18
  18. 12
  19. 12
  20. 91/20
  21. 40/99
  22. 6
  23. 16/5
  24. 15/44
  25. 6
  26. 44/117
  27. 12
  28. 81/170
  29. 42
  30. 56
  31. 8
  32. 30/17
  33. 182/27
  34. 44/15
  35. 40
  36. 9
  37. 95/24
  38. 27
  39. 13/30
  40. 44

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