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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 243 · 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 5 days and Meera in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Priya works three times as fast as Kabir. Together they finish a job in 3 days. How many days would Kabir take alone?
  3. 3.Zoya works three times as fast as Kavya. Together they finish a job in 9 days. How many days would Kavya take alone?
  4. 4.Ishaan can finish a job in 4 days and Sneha in 20 days. Ishaan works alone for 1 day and then stops. Sneha finishes the rest. How many days does Sneha take?
  5. 5.Farhan can finish a job in 4 days and Pooja in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Kabir can finish a job in 11 days and Kavya in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  7. 7.Kabir can finish a job in 4 days and Pooja in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Arjun can finish a job in 7 days and Diya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Aditya can finish a job in 12 days and Saanvi in 9 days. Aditya works alone for 8 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  10. 10.Isha can finish a job in 12 days and Manav in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  11. 11.Farhan can finish a job in 5 days and Karan in 10 days. Farhan works alone for 1 day and then stops. Karan finishes the rest. How many days does Karan take?
  12. 12.Kavya works three times as fast as Zoya. Together they finish a job in 10 days. How many days would Zoya take alone?
  13. 13.Arjun can finish a job in 13 days and Kabir in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  14. 14.Sneha and Meera together finish a job in 2 days. Sneha alone takes 3 days. How many days would Meera take alone?
  15. 15.Ananya can finish a job in 5 days and Meera in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  16. 16.Saanvi works three times as fast as Nisha. Together they finish a job in 3 days. How many days would Nisha take alone?
  17. 17.Kabir can finish a job in 4 days and Arjun in 16 days. Kabir works alone for 1 day and then stops. Arjun finishes the rest. How many days does Arjun take?
  18. 18.Rohan can finish a job in 5 days and Nisha in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  19. 19.Rohan works three times as fast as Manav. Together they finish a job in 4 days. How many days would Manav take alone?
  20. 20.Karan can finish a job in 20 days and Aarav in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Kabir can finish a job in 4 days and Saanvi in 6 days. Kabir works alone for 2 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  22. 22.Arjun can finish a job in 14 days and Dev in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Aditya can finish a job in 20 days and Ananya in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  24. 24.Meera works three times as fast as Sneha. Together they finish a job in 9 days. How many days would Sneha take alone?
  25. 25.Farhan can finish a job in 4 days and Karan in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Ananya and Arjun together finish a job in 2 days. Ananya alone takes 4 days. How many days would Arjun take alone?
  27. 27.Pooja can finish a job in 15 days and Karan in 30 days. Pooja works alone for 10 days and then stops. Karan finishes the rest. How many days does Karan take?
  28. 28.Nisha can finish a job in 4 days and Rahul in 28 days. Nisha works alone for 1 day and then stops. Rahul finishes the rest. How many days does Rahul take?
  29. 29.Sneha can finish a job in 20 days and Kavya in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Ishaan can finish a job in 8 days and Isha in 20 days. Ishaan works alone for 2 days and then stops. Isha finishes the rest. How many days does Isha take?
  31. 31.Dev works twice as fast as Kabir. Together they finish a job in 8 days. How many days would Kabir take alone?
  32. 32.Kabir works twice as fast as Arjun. Together they finish a job in 6 days. How many days would Arjun take alone?
  33. 33.Aarav can finish a job in 10 days and Sneha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Aditya can finish a job in 7 days and Sneha in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  35. 35.Aditya can finish a job in 6 days and Arjun in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Ananya can finish a job in 18 days and Arjun in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Ishaan and Saanvi together finish a job in 8 days. Ishaan alone takes 10 days. How many days would Saanvi take alone?
  38. 38.Meera works twice as fast as Dev. Together they finish a job in 8 days. How many days would Dev take alone?
  39. 39.Zoya can finish a job in 17 days and Diya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Aditya can finish a job in 14 days and Saanvi in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 24/95
  2. 12
  3. 36
  4. 15
  5. 20/9
  6. 54/77
  7. 8/3
  8. 105/22
  9. 3
  10. 5/36
  11. 8
  12. 40
  13. 22/39
  14. 6
  15. 11/15
  16. 12
  17. 12
  18. 13/40
  19. 16
  20. 10/3
  21. 3
  22. 11/56
  23. 19/60
  24. 36
  25. 69/76
  26. 4
  27. 10
  28. 21
  29. 51/140
  30. 15
  31. 24
  32. 18
  33. 80/13
  34. 27/70
  35. 5/12
  36. 63/8
  37. 40
  38. 24
  39. 119/24
  40. 70/19

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