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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 99 · 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.Ishaan can finish a job in 27 days and Aarav in 30 days. Ishaan works alone for 18 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  2. 2.Rohan can finish a job in 13 days and Rahul in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Manav can finish a job in 4 days and Tara in 8 days. Manav works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
  4. 4.Manav and Nisha together finish a job in 3 days. Manav alone takes 4 days. How many days would Nisha take alone?
  5. 5.Zoya and Nisha together finish a job in 14 days. Zoya alone takes 21 days. How many days would Nisha take alone?
  6. 6.Aditya can finish a job in 5 days and Manav in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Farhan can finish a job in 6 days and Saanvi in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  8. 8.Priya works three times as fast as Kabir. Together they finish a job in 11 days. How many days would Kabir take alone?
  9. 9.Priya can finish a job in 4 days and Vivaan in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Dev and Rohan together finish a job in 14 days. Dev alone takes 21 days. How many days would Rohan take alone?
  11. 11.Ishaan works twice as fast as Isha. Together they finish a job in 9 days. How many days would Isha take alone?
  12. 12.Meera can finish a job in 11 days and Kavya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Aarav and Vivaan together finish a job in 2 days. Aarav alone takes 4 days. How many days would Vivaan take alone?
  14. 14.Pooja can finish a job in 16 days and Arjun in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Isha can finish a job in 17 days and Priya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Aditya can finish a job in 14 days and Dev in 21 days. Aditya works alone for 6 days and then stops. Dev finishes the rest. How many days does Dev take?
  17. 17.Tara can finish a job in 14 days and Diya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Nisha can finish a job in 18 days and Aarav in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  19. 19.Vivaan works three times as fast as Sneha. Together they finish a job in 4 days. How many days would Sneha take alone?
  20. 20.Diya works twice as fast as Rahul. Together they finish a job in 6 days. How many days would Rahul take alone?
  21. 21.Priya works three times as fast as Kabir. Together they finish a job in 5 days. How many days would Kabir take alone?
  22. 22.Tara can finish a job in 20 days and Ananya in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Meera and Sneha together finish a job in 3 days. Meera alone takes 6 days. How many days would Sneha take alone?
  24. 24.Rohan and Zoya together finish a job in 21 days. Rohan alone takes 28 days. How many days would Zoya take alone?
  25. 25.Rahul can finish a job in 18 days and Vivaan in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  26. 26.Manav can finish a job in 18 days and Rohan in 6 days. Manav works alone for 6 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  27. 27.Priya can finish a job in 24 days and Pooja in 28 days. Priya works alone for 6 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  28. 28.Zoya can finish a job in 14 days and Vivaan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Dev can finish a job in 16 days and Tara in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Ananya can finish a job in 14 days and Ishaan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Kabir and Aarav together finish a job in 4 days. Kabir alone takes 12 days. How many days would Aarav take alone?
  32. 32.Aditya can finish a job in 18 days and Aarav in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Dev can finish a job in 8 days and Aditya in 28 days. Dev works alone for 2 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  34. 34.Sneha can finish a job in 10 days and Pooja in 20 days. Sneha works alone for 7 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  35. 35.Kavya can finish a job in 17 days and Nisha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Karan can finish a job in 13 days and Ishaan in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Aarav can finish a job in 17 days and Ishaan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Rahul can finish a job in 16 days and Ishaan in 24 days. Rahul works alone for 2 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  39. 39.Dev can finish a job in 12 days and Sneha in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  40. 40.Manav can finish a job in 12 days and Saanvi in 20 days. Manav works alone for 9 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?

Answer key

  1. 10
  2. 33/260
  3. 6
  4. 12
  5. 42
  6. 35/12
  7. 2/9
  8. 44
  9. 13/18
  10. 42
  11. 27
  12. 99/20
  13. 4
  14. 208/29
  15. 272/33
  16. 12
  17. 21/5
  18. 37/114
  19. 16
  20. 18
  21. 20
  22. 27/70
  23. 6
  24. 84
  25. 11/36
  26. 4
  27. 21
  28. 154/25
  29. 80/21
  30. 7/4
  31. 6
  32. 23/90
  33. 21
  34. 6
  35. 102/23
  36. 33/130
  37. 221/30
  38. 21
  39. 13/28
  40. 5

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