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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 97 · 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 11 days and Manav in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Pooja can finish a job in 10 days and Nisha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Saanvi can finish a job in 6 days and Kabir in 20 days. Saanvi works alone for 3 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  4. 4.Isha and Ananya together finish a job in 4 days. Isha alone takes 6 days. How many days would Ananya take alone?
  5. 5.Tara can finish a job in 15 days and Vivaan in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  6. 6.Dev and Diya together finish a job in 4 days. Dev alone takes 6 days. How many days would Diya take alone?
  7. 7.Farhan can finish a job in 12 days and Kabir in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  8. 8.Farhan can finish a job in 11 days and Pooja in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Aarav and Rohan together finish a job in 3 days. Aarav alone takes 4 days. How many days would Rohan take alone?
  10. 10.Diya and Kabir together finish a job in 2 days. Diya alone takes 4 days. How many days would Kabir take alone?
  11. 11.Ishaan and Nisha together finish a job in 18 days. Ishaan alone takes 30 days. How many days would Nisha take alone?
  12. 12.Rahul can finish a job in 20 days and Diya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Manav can finish a job in 4 days and Arjun in 16 days. Manav works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  14. 14.Tara works three times as fast as Kavya. Together they finish a job in 2 days. How many days would Kavya take alone?
  15. 15.Kabir works twice as fast as Karan. Together they finish a job in 11 days. How many days would Karan take alone?
  16. 16.Aditya can finish a job in 6 days and Dev in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  17. 17.Priya works twice as fast as Saanvi. Together they finish a job in 2 days. How many days would Saanvi take alone?
  18. 18.Ananya can finish a job in 19 days and Isha in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Kavya 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 1 day? =
  20. 20.Sneha and Meera together finish a job in 15 days. Sneha alone takes 24 days. How many days would Meera take alone?
  21. 21.Isha can finish a job in 12 days and Pooja in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Manav and Nisha together finish a job in 5 days. Manav alone takes 6 days. How many days would Nisha take alone?
  23. 23.Nisha can finish a job in 7 days and Ishaan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Diya can finish a job in 7 days and Aditya in 9 days. What fraction of the job do they finish if they work together for 2 days? =
  25. 25.Diya can finish a job in 30 days and Pooja in 10 days. Diya works alone for 9 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  26. 26.Priya can finish a job in 18 days and Zoya in 12 days. Priya works alone for 3 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  27. 27.Nisha works three times as fast as Aditya. Together they finish a job in 6 days. How many days would Aditya take alone?
  28. 28.Meera can finish a job in 13 days and Priya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Ananya can finish a job in 12 days and Ishaan in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  30. 30.Diya works twice as fast as Priya. Together they finish a job in 8 days. How many days would Priya take alone?
  31. 31.Pooja can finish a job in 22 days and Aditya in 11 days. Pooja works alone for 6 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  32. 32.Saanvi works three times as fast as Karan. Together they finish a job in 2 days. How many days would Karan take alone?
  33. 33.Rahul can finish a job in 26 days and Sneha in 13 days. Rahul works alone for 12 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  34. 34.Isha can finish a job in 7 days and Priya in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  35. 35.Isha and Kavya together finish a job in 12 days. Isha alone takes 14 days. How many days would Kavya take alone?
  36. 36.Nisha can finish a job in 16 days and Kavya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Nisha works three times as fast as Priya. Together they finish a job in 5 days. How many days would Priya take alone?
  38. 38.Sneha and Isha together finish a job in 2 days. Sneha alone takes 3 days. How many days would Isha take alone?
  39. 39.Tara can finish a job in 18 days and Nisha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Aarav can finish a job in 10 days and Rohan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 19/88
  2. 70/17
  3. 10
  4. 12
  5. 7/10
  6. 12
  7. 23/44
  8. 15/44
  9. 12
  10. 4
  11. 45
  12. 20/3
  13. 8
  14. 8
  15. 33
  16. 7/15
  17. 6
  18. 171/28
  19. 1/4
  20. 40
  21. 60/11
  22. 30
  23. 21/10
  24. 32/63
  25. 7
  26. 10
  27. 24
  28. 52/17
  29. 23/132
  30. 24
  31. 8
  32. 8
  33. 7
  34. 25/63
  35. 84
  36. 48/11
  37. 20
  38. 6
  39. 36/11
  40. 35/6

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