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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 504 · 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.Sneha can finish a job in 16 days and Priya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Aarav can finish a job in 15 days and Ananya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Ishaan and Kabir together finish a job in 8 days. Ishaan alone takes 10 days. How many days would Kabir take alone?
  4. 4.Zoya can finish a job in 15 days and Diya in 10 days. Zoya works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
  5. 5.Rohan can finish a job in 5 days and Kavya in 30 days. Rohan works alone for 4 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  6. 6.Kabir can finish a job in 28 days and Rohan in 21 days. Kabir works alone for 8 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  7. 7.Zoya works twice as fast as Aarav. Together they finish a job in 11 days. How many days would Aarav take alone?
  8. 8.Arjun can finish a job in 9 days and Rahul in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Sneha can finish a job in 18 days and Kavya in 9 days. Sneha works alone for 2 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  10. 10.Farhan can finish a job in 12 days and Manav in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Nisha can finish a job in 17 days and Tara in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Saanvi and Rohan together finish a job in 10 days. Saanvi alone takes 12 days. How many days would Rohan take alone?
  13. 13.Zoya and Diya together finish a job in 2 days. Zoya alone takes 3 days. How many days would Diya take alone?
  14. 14.Saanvi and Sneha together finish a job in 4 days. Saanvi alone takes 8 days. How many days would Sneha take alone?
  15. 15.Nisha works three times as fast as Pooja. Together they finish a job in 4 days. How many days would Pooja take alone?
  16. 16.Meera can finish a job in 16 days and Dev in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  17. 17.Zoya can finish a job in 20 days and Dev in 30 days. Zoya works alone for 4 days and then stops. Dev finishes the rest. How many days does Dev take?
  18. 18.Ananya and Isha together finish a job in 5 days. Ananya alone takes 6 days. How many days would Isha take alone?
  19. 19.Farhan and Arjun together finish a job in 6 days. Farhan alone takes 8 days. How many days would Arjun take alone?
  20. 20.Karan and Arjun together finish a job in 18 days. Karan alone takes 27 days. How many days would Arjun take alone?
  21. 21.Kabir can finish a job in 6 days and Rohan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Kabir and Diya together finish a job in 6 days. Kabir alone takes 12 days. How many days would Diya take alone?
  23. 23.Diya and Saanvi together finish a job in 10 days. Diya alone takes 20 days. How many days would Saanvi take alone?
  24. 24.Tara can finish a job in 16 days and Meera in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Farhan can finish a job in 20 days and Ishaan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Meera can finish a job in 7 days and Diya in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  27. 27.Pooja can finish a job in 4 days and Saanvi in 16 days. Pooja works alone for 1 day and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  28. 28.Isha and Kabir together finish a job in 2 days. Isha alone takes 3 days. How many days would Kabir take alone?
  29. 29.Ananya and Karan together finish a job in 9 days. Ananya alone takes 12 days. How many days would Karan take alone?
  30. 30.Meera can finish a job in 18 days and Saanvi in 15 days. Meera works alone for 6 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  31. 31.Aarav can finish a job in 15 days and Diya in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Diya and Tara together finish a job in 2 days. Diya alone takes 3 days. How many days would Tara take alone?
  33. 33.Ishaan can finish a job in 10 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. =
  34. 34.Saanvi can finish a job in 13 days and Rohan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Saanvi can finish a job in 20 days and Rahul in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Isha can finish a job in 16 days and Dev in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Farhan works twice as fast as Zoya. Together they finish a job in 12 days. How many days would Zoya take alone?
  38. 38.Meera works three times as fast as Zoya. Together they finish a job in 3 days. How many days would Zoya take alone?
  39. 39.Saanvi works twice as fast as Isha. Together they finish a job in 12 days. How many days would Isha take alone?
  40. 40.Arjun can finish a job in 15 days and Vivaan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 240/31
  2. 60/19
  3. 40
  4. 8
  5. 6
  6. 15
  7. 33
  8. 36/13
  9. 8
  10. 17/20
  11. 323/36
  12. 60
  13. 6
  14. 8
  15. 16
  16. 23/112
  17. 24
  18. 30
  19. 24
  20. 54
  21. 66/17
  22. 12
  23. 20
  24. 16/5
  25. 180/29
  26. 69/112
  27. 12
  28. 6
  29. 36
  30. 10
  31. 8/45
  32. 6
  33. 70/17
  34. 39/16
  35. 80/9
  36. 112/15
  37. 36
  38. 12
  39. 36
  40. 20/3

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