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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 500 · 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.Karan can finish a job in 5 days and Nisha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Karan and Zoya together finish a job in 2 days. Karan alone takes 3 days. How many days would Zoya take alone?
  3. 3.Kavya can finish a job in 9 days and Kabir in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Aarav and Arjun together finish a job in 12 days. Aarav alone takes 24 days. How many days would Arjun take alone?
  5. 5.Aditya can finish a job in 16 days and Manav in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Pooja can finish a job in 8 days and Isha in 24 days. Pooja works alone for 4 days and then stops. Isha finishes the rest. How many days does Isha take?
  7. 7.Diya can finish a job in 28 days and Rohan in 21 days. Diya works alone for 20 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  8. 8.Sneha works three times as fast as Dev. Together they finish a job in 2 days. How many days would Dev take alone?
  9. 9.Pooja can finish a job in 19 days and Dev in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Kavya and Pooja together finish a job in 4 days. Kavya alone takes 6 days. How many days would Pooja take alone?
  11. 11.Manav can finish a job in 8 days and Vivaan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Kabir can finish a job in 14 days and Isha in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  13. 13.Meera works twice as fast as Karan. Together they finish a job in 3 days. How many days would Karan take alone?
  14. 14.Rohan works three times as fast as Aditya. Together they finish a job in 2 days. How many days would Aditya take alone?
  15. 15.Pooja and Ishaan together finish a job in 10 days. Pooja alone takes 12 days. How many days would Ishaan take alone?
  16. 16.Vivaan works twice as fast as Diya. Together they finish a job in 12 days. How many days would Diya take alone?
  17. 17.Aarav can finish a job in 14 days and Pooja in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Ishaan can finish a job in 20 days and Nisha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Tara works three times as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
  20. 20.Kabir can finish a job in 20 days and Rahul in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Pooja can finish a job in 20 days and Isha in 22 days. Pooja works alone for 10 days and then stops. Isha finishes the rest. How many days does Isha take?
  22. 22.Aditya works three times as fast as Nisha. Together they finish a job in 3 days. How many days would Nisha take alone?
  23. 23.Diya can finish a job in 6 days and Nisha in 24 days. Diya works alone for 5 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  24. 24.Sneha can finish a job in 19 days and Meera in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Farhan and Pooja together finish a job in 6 days. Farhan alone takes 7 days. How many days would Pooja take alone?
  26. 26.Tara can finish a job in 2 days and Karan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Rohan can finish a job in 5 days and Isha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Zoya and Rohan together finish a job in 15 days. Zoya alone takes 20 days. How many days would Rohan take alone?
  29. 29.Rahul can finish a job in 4 days and Farhan in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  30. 30.Isha can finish a job in 4 days and Farhan in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Priya can finish a job in 4 days and Aditya in 24 days. Priya works alone for 1 day and then stops. Aditya finishes the rest. How many days does Aditya take?
  32. 32.Kabir and Diya together finish a job in 15 days. Kabir alone takes 20 days. How many days would Diya take alone?
  33. 33.Priya can finish a job in 6 days and Aarav in 16 days. Priya works alone for 3 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  34. 34.Zoya can finish a job in 22 days and Kavya in 11 days. Zoya works alone for 18 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  35. 35.Tara can finish a job in 9 days and Ananya in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Nisha can finish a job in 5 days and Kabir in 25 days. Nisha works alone for 1 day and then stops. Kabir finishes the rest. How many days does Kabir take?
  37. 37.Ananya can finish a job in 20 days and Sneha in 12 days. Ananya works alone for 15 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  38. 38.Kabir and Vivaan together finish a job in 2 days. Kabir alone takes 3 days. How many days would Vivaan take alone?
  39. 39.Karan and Isha together finish a job in 2 days. Karan alone takes 3 days. How many days would Isha take alone?
  40. 40.Zoya and Priya together finish a job in 10 days. Zoya alone takes 20 days. How many days would Priya take alone?

Answer key

  1. 85/22
  2. 6
  3. 1/6
  4. 24
  5. 80/9
  6. 12
  7. 6
  8. 8
  9. 304/35
  10. 12
  11. 56/11
  12. 12/35
  13. 9
  14. 8
  15. 60
  16. 36
  17. 31/238
  18. 80/9
  19. 32
  20. 27/70
  21. 11
  22. 12
  23. 4
  24. 25/114
  25. 42
  26. 4/3
  27. 55/16
  28. 60
  29. 9/28
  30. 15/44
  31. 18
  32. 60
  33. 8
  34. 2
  35. 28/45
  36. 20
  37. 3
  38. 6
  39. 6
  40. 20

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