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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 291 · 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.Kavya and Karan together finish a job in 2 days. Kavya alone takes 3 days. How many days would Karan take alone?
  2. 2.Sneha can finish a job in 6 days and Aditya in 18 days. Sneha works alone for 5 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  3. 3.Pooja and Aditya together finish a job in 4 days. Pooja alone takes 5 days. How many days would Aditya take alone?
  4. 4.Farhan can finish a job in 13 days and Meera in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Arjun can finish a job in 10 days and Priya in 20 days. Arjun works alone for 8 days and then stops. Priya finishes the rest. How many days does Priya take?
  6. 6.Farhan works twice as fast as Saanvi. Together they finish a job in 5 days. How many days would Saanvi take alone?
  7. 7.Farhan can finish a job in 13 days and Aarav in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  8. 8.Ananya can finish a job in 16 days and Aditya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Rohan and Ishaan together finish a job in 3 days. Rohan alone takes 4 days. How many days would Ishaan take alone?
  10. 10.Saanvi and Rahul together finish a job in 10 days. Saanvi alone takes 20 days. How many days would Rahul take alone?
  11. 11.Manav can finish a job in 12 days and Ananya in 4 days. Manav works alone for 9 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  12. 12.Pooja can finish a job in 5 days and Saanvi in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Ishaan and Manav together finish a job in 3 days. Ishaan alone takes 4 days. How many days would Manav take alone?
  14. 14.Meera can finish a job in 5 days and Manav in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Karan can finish a job in 20 days and Sneha in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Isha and Tara together finish a job in 2 days. Isha alone takes 3 days. How many days would Tara take alone?
  17. 17.Meera can finish a job in 12 days and Rahul in 24 days. Meera works alone for 4 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  18. 18.Rohan can finish a job in 10 days and Karan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Arjun can finish a job in 12 days and Kabir in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Dev can finish a job in 9 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. =
  21. 21.Sneha can finish a job in 14 days and Farhan in 28 days. Sneha works alone for 1 day and then stops. Farhan finishes the rest. How many days does Farhan take?
  22. 22.Kabir works three times as fast as Ishaan. Together they finish a job in 3 days. How many days would Ishaan take alone?
  23. 23.Sneha can finish a job in 27 days and Saanvi in 12 days. Sneha works alone for 18 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  24. 24.Farhan can finish a job in 8 days and Ishaan in 20 days. Farhan works alone for 2 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  25. 25.Saanvi can finish a job in 6 days and Diya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Saanvi and Rohan together finish a job in 5 days. Saanvi alone takes 30 days. How many days would Rohan take alone?
  27. 27.Manav can finish a job in 8 days and Aarav in 16 days. Manav works alone for 4 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  28. 28.Farhan can finish a job in 20 days and Diya in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  29. 29.Karan can finish a job in 16 days and Meera in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  30. 30.Kavya can finish a job in 12 days and Priya in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Farhan works three times as fast as Priya. Together they finish a job in 11 days. How many days would Priya take alone?
  32. 32.Tara can finish a job in 5 days and Meera in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Isha can finish a job in 12 days and Arjun in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  34. 34.Aditya can finish a job in 19 days and Ananya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Kavya can finish a job in 4 days and Farhan in 20 days. Kavya works alone for 2 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  36. 36.Farhan works three times as fast as Arjun. Together they finish a job in 10 days. How many days would Arjun take alone?
  37. 37.Manav works twice as fast as Tara. Together they finish a job in 9 days. How many days would Tara take alone?
  38. 38.Tara can finish a job in 3 days and Ishaan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Manav can finish a job in 4 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. =
  40. 40.Zoya can finish a job in 4 days and Kabir in 18 days. Zoya works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?

Answer key

  1. 6
  2. 3
  3. 20
  4. 260/33
  5. 4
  6. 15
  7. 31/234
  8. 16/3
  9. 12
  10. 20
  11. 1
  12. 90/23
  13. 12
  14. 15/4
  15. 3/4
  16. 6
  17. 16
  18. 70/17
  19. 228/31
  20. 63/16
  21. 26
  22. 12
  23. 4
  24. 15
  25. 18/5
  26. 6
  27. 8
  28. 7/20
  29. 3/8
  30. 25/156
  31. 44
  32. 16/55
  33. 5/18
  34. 247/32
  35. 10
  36. 40
  37. 27
  38. 12/5
  39. 76/23
  40. 9

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