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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 235 · 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.Diya and Rohan together finish a job in 4 days. Diya alone takes 6 days. How many days would Rohan take alone?
  2. 2.Tara works twice as fast as Meera. Together they finish a job in 2 days. How many days would Meera take alone?
  3. 3.Meera can finish a job in 5 days and Aditya in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Saanvi can finish a job in 4 days and Rohan in 8 days. Saanvi works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  5. 5.Priya can finish a job in 6 days and Dev in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  6. 6.Vivaan and Ishaan together finish a job in 8 days. Vivaan alone takes 10 days. How many days would Ishaan take alone?
  7. 7.Dev can finish a job in 9 days and Nisha in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  8. 8.Karan can finish a job in 10 days and Kabir in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  9. 9.Ishaan can finish a job in 10 days and Zoya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Nisha can finish a job in 20 days and Vivaan in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Nisha can finish a job in 12 days and Kavya in 20 days. Nisha works alone for 3 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  12. 12.Arjun works three times as fast as Priya. Together they finish a job in 11 days. How many days would Priya take alone?
  13. 13.Ishaan can finish a job in 5 days and Tara in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  14. 14.Farhan works twice as fast as Aditya. Together they finish a job in 4 days. How many days would Aditya take alone?
  15. 15.Rahul works twice as fast as Arjun. Together they finish a job in 5 days. How many days would Arjun take alone?
  16. 16.Rahul can finish a job in 19 days and Manav in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Kabir can finish a job in 9 days and Kavya in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Pooja and Priya together finish a job in 3 days. Pooja alone takes 6 days. How many days would Priya take alone?
  19. 19.Arjun can finish a job in 9 days and Pooja in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Priya works three times as fast as Ishaan. Together they finish a job in 9 days. How many days would Ishaan take alone?
  21. 21.Vivaan can finish a job in 24 days and Priya in 16 days. Vivaan works alone for 6 days and then stops. Priya finishes the rest. How many days does Priya take?
  22. 22.Ishaan can finish a job in 9 days and Farhan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Ananya can finish a job in 7 days and Zoya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Aarav and Priya together finish a job in 12 days. Aarav alone takes 18 days. How many days would Priya take alone?
  25. 25.Vivaan can finish a job in 17 days and Meera in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Ananya can finish a job in 5 days and Meera in 30 days. Ananya works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
  27. 27.Rahul can finish a job in 11 days and Sneha in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Rahul can finish a job in 20 days and Diya in 15 days. Rahul works alone for 12 days and then stops. Diya finishes the rest. How many days does Diya take?
  29. 29.Karan and Pooja together finish a job in 2 days. Karan alone takes 4 days. How many days would Pooja take alone?
  30. 30.Pooja can finish a job in 12 days and Rahul in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Meera can finish a job in 19 days and Aditya in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Dev and Ananya together finish a job in 9 days. Dev alone takes 10 days. How many days would Ananya take alone?
  33. 33.Rahul works three times as fast as Karan. Together they finish a job in 10 days. How many days would Karan take alone?
  34. 34.Manav works three times as fast as Sneha. Together they finish a job in 9 days. How many days would Sneha take alone?
  35. 35.Karan can finish a job in 15 days and Aditya in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Pooja can finish a job in 4 days and Meera in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Ananya can finish a job in 6 days and Meera in 22 days. Ananya works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  38. 38.Rohan can finish a job in 18 days and Diya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Rahul can finish a job in 15 days and Aarav in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Ishaan can finish a job in 20 days and Rohan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 12
  2. 6
  3. 48/55
  4. 2
  5. 5/21
  6. 40
  7. 19/90
  8. 4/5
  9. 6
  10. 117/380
  11. 15
  12. 44
  13. 54/65
  14. 12
  15. 15
  16. 76/23
  17. 13/36
  18. 6
  19. 144/25
  20. 36
  21. 12
  22. 45/14
  23. 28/11
  24. 36
  25. 187/28
  26. 18
  27. 209/30
  28. 6
  29. 4
  30. 19/84
  31. 99/266
  32. 90
  33. 40
  34. 36
  35. 64/255
  36. 27/28
  37. 11
  38. 306/35
  39. 15/4
  40. 260/33

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