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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 232 · 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 20 days and Kabir in 30 days. Meera works alone for 10 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  2. 2.Nisha can finish a job in 7 days and Karan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Kabir can finish a job in 13 days and Farhan in 26 days. Kabir works alone for 11 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  4. 4.Meera and Kabir together finish a job in 2 days. Meera alone takes 4 days. How many days would Kabir take alone?
  5. 5.Zoya can finish a job in 11 days and Nisha in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  6. 6.Tara can finish a job in 8 days and Diya in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Vivaan can finish a job in 6 days and Aarav in 24 days. Vivaan works alone for 3 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  8. 8.Rohan can finish a job in 6 days and Priya in 18 days. Rohan works alone for 3 days and then stops. Priya finishes the rest. How many days does Priya take?
  9. 9.Kabir can finish a job in 9 days and Ishaan 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 works three times as fast as Nisha. Together they finish a job in 7 days. How many days would Nisha take alone?
  11. 11.Dev can finish a job in 6 days and Tara in 21 days. Dev works alone for 2 days and then stops. Tara finishes the rest. How many days does Tara take?
  12. 12.Diya can finish a job in 4 days and Farhan in 8 days. Diya works alone for 3 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  13. 13.Vivaan and Priya together finish a job in 3 days. Vivaan alone takes 12 days. How many days would Priya take alone?
  14. 14.Ananya and Aarav together finish a job in 12 days. Ananya alone takes 18 days. How many days would Aarav take alone?
  15. 15.Zoya and Isha together finish a job in 2 days. Zoya alone takes 4 days. How many days would Isha take alone?
  16. 16.Meera can finish a job in 11 days and Arjun in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  17. 17.Karan and Manav together finish a job in 7 days. Karan alone takes 8 days. How many days would Manav take alone?
  18. 18.Arjun and Farhan together finish a job in 3 days. Arjun alone takes 12 days. How many days would Farhan take alone?
  19. 19.Arjun can finish a job in 12 days and Ishaan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Manav can finish a job in 25 days and Saanvi in 10 days. Manav works alone for 10 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  21. 21.Kavya can finish a job in 6 days and Nisha in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  22. 22.Priya can finish a job in 19 days and Kabir in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  23. 23.Diya can finish a job in 20 days and Arjun in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Meera can finish a job in 13 days and Rohan in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  25. 25.Priya can finish a job in 7 days and Aarav in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  26. 26.Meera works twice as fast as Priya. Together they finish a job in 4 days. How many days would Priya take alone?
  27. 27.Saanvi and Isha together finish a job in 21 days. Saanvi alone takes 30 days. How many days would Isha take alone?
  28. 28.Ananya can finish a job in 22 days and Farhan in 14 days. Ananya works alone for 11 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  29. 29.Dev can finish a job in 4 days and Karan in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  30. 30.Farhan can finish a job in 10 days and Zoya in 30 days. Farhan works alone for 1 day and then stops. Zoya finishes the rest. How many days does Zoya take?
  31. 31.Arjun works three times as fast as Meera. Together they finish a job in 12 days. How many days would Meera take alone?
  32. 32.Aarav can finish a job in 11 days and Ananya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Sneha can finish a job in 9 days and Zoya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Kavya can finish a job in 4 days and Pooja in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Arjun and Sneha together finish a job in 3 days. Arjun alone takes 6 days. How many days would Sneha take alone?
  36. 36.Meera can finish a job in 6 days and Rohan in 21 days. Meera works alone for 2 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  37. 37.Kavya can finish a job in 18 days and Diya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Tara and Kavya together finish a job in 3 days. Tara alone takes 4 days. How many days would Kavya take alone?
  39. 39.Tara can finish a job in 4 days and Ishaan in 20 days. Tara works alone for 1 day and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  40. 40.Rohan works twice as fast as Aarav. Together they finish a job in 12 days. How many days would Aarav take alone?

Answer key

  1. 15
  2. 21/10
  3. 4
  4. 4
  5. 17/22
  6. 19/88
  7. 12
  8. 9
  9. 153/26
  10. 28
  11. 14
  12. 2
  13. 4
  14. 36
  15. 4
  16. 17/66
  17. 56
  18. 4
  19. 204/29
  20. 6
  21. 25/57
  22. 31/76
  23. 17/140
  24. 36/65
  25. 25/63
  26. 12
  27. 70
  28. 7
  29. 3/4
  30. 27
  31. 48
  32. 99/20
  33. 90/19
  34. 8/3
  35. 6
  36. 14
  37. 198/29
  38. 12
  39. 15
  40. 36

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