← Time and work lesson New set →

Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 79 · 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.Priya and Tara together finish a job in 4 days. Priya alone takes 12 days. How many days would Tara take alone?
  2. 2.Tara can finish a job in 16 days and Kavya in 18 days. Tara works alone for 8 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  3. 3.Priya can finish a job in 12 days and Karan in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  4. 4.Kabir can finish a job in 14 days and Ishaan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Manav can finish a job in 5 days and Sneha in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  6. 6.Dev and Aditya together finish a job in 8 days. Dev alone takes 9 days. How many days would Aditya take alone?
  7. 7.Ishaan can finish a job in 10 days and Meera in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Kavya and Kabir together finish a job in 5 days. Kavya alone takes 30 days. How many days would Kabir take alone?
  9. 9.Ananya can finish a job in 9 days and Aditya in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  10. 10.Zoya can finish a job in 4 days and Ananya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Meera and Pooja together finish a job in 2 days. Meera alone takes 6 days. How many days would Pooja take alone?
  12. 12.Rohan can finish a job in 22 days and Aditya in 6 days. Rohan works alone for 11 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  13. 13.Nisha works three times as fast as Priya. Together they finish a job in 9 days. How many days would Priya take alone?
  14. 14.Manav works three times as fast as Diya. Together they finish a job in 9 days. How many days would Diya take alone?
  15. 15.Diya can finish a job in 4 days and Kabir in 28 days. Diya works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  16. 16.Nisha can finish a job in 8 days and Ishaan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Tara works three times as fast as Arjun. Together they finish a job in 5 days. How many days would Arjun take alone?
  18. 18.Ananya works twice as fast as Kabir. Together they finish a job in 10 days. How many days would Kabir take alone?
  19. 19.Nisha and Kavya together finish a job in 6 days. Nisha alone takes 8 days. How many days would Kavya take alone?
  20. 20.Diya can finish a job in 7 days and Zoya in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Arjun can finish a job in 2 days and Vivaan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Farhan and Karan together finish a job in 2 days. Farhan alone takes 4 days. How many days would Karan take alone?
  23. 23.Meera works three times as fast as Isha. Together they finish a job in 10 days. How many days would Isha take alone?
  24. 24.Rohan can finish a job in 7 days and Diya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Arjun can finish a job in 8 days and Pooja in 6 days. Arjun works alone for 4 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  26. 26.Ishaan can finish a job in 6 days and Rahul in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Ananya can finish a job in 5 days and Pooja in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  28. 28.Meera works three times as fast as Manav. Together they finish a job in 10 days. How many days would Manav take alone?
  29. 29.Meera works three times as fast as Priya. Together they finish a job in 8 days. How many days would Priya take alone?
  30. 30.Diya can finish a job in 10 days and Kabir in 15 days. Diya works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  31. 31.Arjun and Rohan together finish a job in 2 days. Arjun alone takes 3 days. How many days would Rohan take alone?
  32. 32.Ananya and Manav together finish a job in 8 days. Ananya alone takes 10 days. How many days would Manav take alone?
  33. 33.Ananya can finish a job in 8 days and Vivaan in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  34. 34.Nisha can finish a job in 19 days and Arjun in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  35. 35.Ishaan and Nisha together finish a job in 3 days. Ishaan alone takes 4 days. How many days would Nisha take alone?
  36. 36.Kabir can finish a job in 5 days and Meera in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Ananya can finish a job in 9 days and Farhan in 18 days. Ananya works alone for 5 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  38. 38.Saanvi and Rohan together finish a job in 3 days. Saanvi alone takes 4 days. How many days would Rohan take alone?
  39. 39.Vivaan can finish a job in 6 days and Saanvi in 26 days. Vivaan works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  40. 40.Kavya and Aditya together finish a job in 2 days. Kavya alone takes 3 days. How many days would Aditya take alone?

Answer key

  1. 6
  2. 9
  3. 1/2
  4. 238/31
  5. 32/55
  6. 72
  7. 30/13
  8. 6
  9. 23/42
  10. 20/9
  11. 3
  12. 3
  13. 36
  14. 36
  15. 14
  16. 8/3
  17. 20
  18. 30
  19. 24
  20. 25/42
  21. 12/7
  22. 4
  23. 40
  24. 35/12
  25. 3
  26. 24/7
  27. 3/5
  28. 40
  29. 32
  30. 12
  31. 6
  32. 40
  33. 7/12
  34. 96/247
  35. 12
  36. 45/14
  37. 8
  38. 12
  39. 13
  40. 6

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude