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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 105 · 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 24 days and Manav in 9 days. Vivaan works alone for 16 days and then stops. Manav finishes the rest. How many days does Manav take?
  2. 2.Kabir and Pooja together finish a job in 10 days. Kabir alone takes 12 days. How many days would Pooja take alone?
  3. 3.Sneha works twice as fast as Priya. Together they finish a job in 2 days. How many days would Priya take alone?
  4. 4.Rohan can finish a job in 9 days and Karan in 24 days. Rohan works alone for 6 days and then stops. Karan finishes the rest. How many days does Karan take?
  5. 5.Diya and Priya together finish a job in 2 days. Diya alone takes 3 days. How many days would Priya take alone?
  6. 6.Aarav works twice as fast as Sneha. Together they finish a job in 5 days. How many days would Sneha take alone?
  7. 7.Sneha and Karan together finish a job in 8 days. Sneha alone takes 12 days. How many days would Karan take alone?
  8. 8.Saanvi and Kabir together finish a job in 3 days. Saanvi alone takes 4 days. How many days would Kabir take alone?
  9. 9.Meera can finish a job in 10 days and Pooja in 15 days. Meera works alone for 2 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  10. 10.Kavya and Aditya together finish a job in 8 days. Kavya alone takes 12 days. How many days would Aditya take alone?
  11. 11.Priya can finish a job in 4 days and Kabir in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  12. 12.Priya can finish a job in 16 days and Saanvi in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Priya works three times as fast as Vivaan. Together they finish a job in 9 days. How many days would Vivaan take alone?
  14. 14.Nisha can finish a job in 5 days and Manav in 25 days. Nisha works alone for 4 days and then stops. Manav finishes the rest. How many days does Manav take?
  15. 15.Diya can finish a job in 15 days and Manav in 30 days. Diya works alone for 10 days and then stops. Manav finishes the rest. How many days does Manav take?
  16. 16.Farhan and Ishaan together finish a job in 6 days. Farhan alone takes 8 days. How many days would Ishaan take alone?
  17. 17.Kabir and Priya together finish a job in 2 days. Kabir alone takes 4 days. How many days would Priya take alone?
  18. 18.Saanvi works twice as fast as Tara. Together they finish a job in 10 days. How many days would Tara take alone?
  19. 19.Rohan can finish a job in 4 days and Saanvi in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Meera works three times as fast as Ishaan. Together they finish a job in 6 days. How many days would Ishaan take alone?
  21. 21.Kavya and Rahul together finish a job in 20 days. Kavya alone takes 28 days. How many days would Rahul take alone?
  22. 22.Manav works twice as fast as Pooja. Together they finish a job in 8 days. How many days would Pooja take alone?
  23. 23.Kavya can finish a job in 6 days and Ishaan in 21 days. Kavya works alone for 2 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  24. 24.Priya can finish a job in 12 days and Vivaan in 8 days. Priya works alone for 3 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  25. 25.Ishaan can finish a job in 18 days and Aditya in 24 days. Ishaan works alone for 9 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  26. 26.Meera and Sneha together finish a job in 6 days. Meera alone takes 10 days. How many days would Sneha take alone?
  27. 27.Priya and Aditya together finish a job in 2 days. Priya alone takes 3 days. How many days would Aditya take alone?
  28. 28.Zoya can finish a job in 15 days and Kabir in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  29. 29.Priya can finish a job in 12 days and Sneha in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  30. 30.Aarav can finish a job in 9 days and Farhan in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  31. 31.Saanvi can finish a job in 26 days and Aarav in 13 days. Saanvi works alone for 12 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  32. 32.Ananya can finish a job in 13 days and Karan in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Kabir can finish a job in 13 days and Rahul in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Dev can finish a job in 5 days and Saanvi in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Manav can finish a job in 30 days and Tara in 6 days. Manav works alone for 5 days and then stops. Tara finishes the rest. How many days does Tara take?
  36. 36.Kavya can finish a job in 2 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. =
  37. 37.Dev can finish a job in 12 days and Diya in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  38. 38.Saanvi can finish a job in 7 days and Kavya in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  39. 39.Dev can finish a job in 19 days and Tara in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Saanvi can finish a job in 4 days and Kavya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 3
  2. 60
  3. 6
  4. 8
  5. 6
  6. 15
  7. 24
  8. 12
  9. 12
  10. 24
  11. 23/38
  12. 16/9
  13. 36
  14. 5
  15. 10
  16. 24
  17. 4
  18. 30
  19. 68/21
  20. 24
  21. 70
  22. 24
  23. 14
  24. 6
  25. 12
  26. 15
  27. 6
  28. 7/15
  29. 5/18
  30. 28/45
  31. 7
  32. 31/234
  33. 182/27
  34. 40/13
  35. 5
  36. 10/7
  37. 7/24
  38. 15/28
  39. 380/39
  40. 28/11

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