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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 498 · 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.Vivaan can finish a job in 4 days and Rohan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Sneha can finish a job in 19 days and Aditya in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  3. 3.Diya can finish a job in 12 days and Saanvi in 27 days. Diya works alone for 4 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  4. 4.Manav can finish a job in 9 days and Ananya in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  5. 5.Pooja can finish a job in 10 days and Nisha in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Kabir works twice as fast as Vivaan. Together they finish a job in 7 days. How many days would Vivaan take alone?
  7. 7.Meera can finish a job in 8 days and Ananya in 10 days. Meera works alone for 4 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  8. 8.Meera can finish a job in 11 days and Aarav in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Aarav can finish a job in 10 days and Kabir in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Ananya can finish a job in 8 days and Nisha in 24 days. Ananya works alone for 6 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  11. 11.Kabir and Priya together finish a job in 8 days. Kabir alone takes 10 days. How many days would Priya take alone?
  12. 12.Priya can finish a job in 15 days and Manav in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  13. 13.Sneha can finish a job in 13 days and Zoya in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  14. 14.Arjun can finish a job in 5 days and Ananya in 25 days. Arjun works alone for 1 day and then stops. Ananya finishes the rest. How many days does Ananya take?
  15. 15.Zoya works twice as fast as Saanvi. Together they finish a job in 6 days. How many days would Saanvi take alone?
  16. 16.Pooja can finish a job in 6 days and Rohan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Isha and Priya together finish a job in 4 days. Isha alone takes 8 days. How many days would Priya take alone?
  18. 18.Kabir can finish a job in 7 days and Rahul in 14 days. Kabir works alone for 5 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  19. 19.Rahul can finish a job in 20 days and Manav in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Kabir and Priya together finish a job in 3 days. Kabir alone takes 4 days. How many days would Priya take alone?
  21. 21.Saanvi and Rohan together finish a job in 8 days. Saanvi alone takes 9 days. How many days would Rohan take alone?
  22. 22.Sneha can finish a job in 14 days and Tara in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Arjun and Farhan together finish a job in 2 days. Arjun alone takes 3 days. How many days would Farhan take alone?
  24. 24.Manav can finish a job in 14 days and Aditya in 28 days. Manav works alone for 1 day and then stops. Aditya finishes the rest. How many days does Aditya take?
  25. 25.Pooja and Manav together finish a job in 2 days. Pooja alone takes 3 days. How many days would Manav take alone?
  26. 26.Diya can finish a job in 10 days and Karan in 15 days. Diya works alone for 2 days and then stops. Karan finishes the rest. How many days does Karan take?
  27. 27.Dev can finish a job in 20 days and Farhan in 25 days. Dev works alone for 8 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  28. 28.Dev can finish a job in 20 days and Diya in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  29. 29.Rohan can finish a job in 3 days and Isha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Diya works three times as fast as Arjun. Together they finish a job in 2 days. How many days would Arjun take alone?
  31. 31.Priya can finish a job in 14 days and Tara in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Aarav can finish a job in 13 days and Meera in 9 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 7 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. =
  34. 34.Priya can finish a job in 30 days and Farhan in 20 days. Priya works alone for 9 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  35. 35.Diya can finish a job in 9 days and Kavya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Priya works twice as fast as Nisha. Together they finish a job in 6 days. How many days would Nisha take alone?
  37. 37.Aarav works three times as fast as Farhan. Together they finish a job in 2 days. How many days would Farhan take alone?
  38. 38.Sneha works three times as fast as Rohan. Together they finish a job in 2 days. How many days would Rohan take alone?
  39. 39.Vivaan can finish a job in 9 days and Kavya in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  40. 40.Rahul can finish a job in 7 days and Priya in 10 days. What fraction of the job do they finish if they work together for 2 days? =

Answer key

  1. 52/17
  2. 29/95
  3. 18
  4. 25/72
  5. 90/19
  6. 21
  7. 5
  8. 165/26
  9. 29/190
  10. 6
  11. 40
  12. 23/40
  13. 25/52
  14. 20
  15. 18
  16. 21/5
  17. 8
  18. 4
  19. 180/29
  20. 12
  21. 72
  22. 182/27
  23. 6
  24. 26
  25. 6
  26. 12
  27. 15
  28. 37/340
  29. 21/10
  30. 8
  31. 154/25
  32. 117/22
  33. 119/24
  34. 14
  35. 36/13
  36. 18
  37. 8
  38. 8
  39. 16/21
  40. 17/35

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