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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 446 · 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.Aditya can finish a job in 18 days and Aarav in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  2. 2.Kabir can finish a job in 4 days and Sneha in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Pooja can finish a job in 19 days and Priya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Kabir works twice as fast as Kavya. Together they finish a job in 5 days. How many days would Kavya take alone?
  5. 5.Rohan can finish a job in 18 days and Meera in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  6. 6.Arjun can finish a job in 20 days and Priya in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  7. 7.Kabir works three times as fast as Ananya. Together they finish a job in 2 days. How many days would Ananya take alone?
  8. 8.Meera can finish a job in 19 days and Pooja in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Rohan can finish a job in 5 days and Zoya in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  10. 10.Arjun works twice as fast as Rohan. Together they finish a job in 12 days. How many days would Rohan take alone?
  11. 11.Manav works three times as fast as Meera. Together they finish a job in 3 days. How many days would Meera take alone?
  12. 12.Zoya and Ishaan together finish a job in 2 days. Zoya alone takes 3 days. How many days would Ishaan take alone?
  13. 13.Pooja can finish a job in 9 days and Manav in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Aditya works three times as fast as Arjun. Together they finish a job in 9 days. How many days would Arjun take alone?
  15. 15.Kabir works twice as fast as Sneha. Together they finish a job in 8 days. How many days would Sneha take alone?
  16. 16.Sneha works twice as fast as Meera. Together they finish a job in 7 days. How many days would Meera take alone?
  17. 17.Ishaan and Meera together finish a job in 2 days. Ishaan alone takes 6 days. How many days would Meera take alone?
  18. 18.Arjun and Rohan together finish a job in 10 days. Arjun alone takes 20 days. How many days would Rohan take alone?
  19. 19.Nisha can finish a job in 18 days and Dev in 27 days. Nisha works alone for 4 days and then stops. Dev finishes the rest. How many days does Dev take?
  20. 20.Saanvi works twice as fast as Kabir. Together they finish a job in 11 days. How many days would Kabir take alone?
  21. 21.Saanvi works three times as fast as Manav. Together they finish a job in 11 days. How many days would Manav take alone?
  22. 22.Farhan can finish a job in 10 days and Diya in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Arjun can finish a job in 10 days and Kavya in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  24. 24.Ishaan can finish a job in 14 days and Kavya in 28 days. Ishaan works alone for 12 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  25. 25.Nisha works three times as fast as Ananya. Together they finish a job in 5 days. How many days would Ananya take alone?
  26. 26.Manav can finish a job in 5 days and Priya in 10 days. Manav works alone for 1 day and then stops. Priya finishes the rest. How many days does Priya take?
  27. 27.Arjun works three times as fast as Isha. Together they finish a job in 2 days. How many days would Isha take alone?
  28. 28.Kavya 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. =
  29. 29.Diya can finish a job in 14 days and Dev in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Tara and Isha together finish a job in 6 days. Tara alone takes 15 days. How many days would Isha take alone?
  31. 31.Karan can finish a job in 11 days and Tara in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Meera can finish a job in 3 days and Karan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Tara and Pooja together finish a job in 8 days. Tara alone takes 16 days. How many days would Pooja take alone?
  34. 34.Dev works three times as fast as Tara. Together they finish a job in 8 days. How many days would Tara take alone?
  35. 35.Nisha can finish a job in 16 days and Arjun in 24 days. Nisha works alone for 12 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  36. 36.Meera can finish a job in 2 days and Dev in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Diya can finish a job in 5 days and Kabir in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Arjun can finish a job in 4 days and Rahul in 24 days. Arjun works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  39. 39.Nisha works twice as fast as Diya. Together they finish a job in 4 days. How many days would Diya take alone?
  40. 40.Rohan and Vivaan together finish a job in 9 days. Rohan alone takes 12 days. How many days would Vivaan take alone?

Answer key

  1. 13/36
  2. 21/68
  3. 114/25
  4. 15
  5. 25/42
  6. 7/30
  7. 8
  8. 133/26
  9. 48/55
  10. 36
  11. 12
  12. 6
  13. 25/144
  14. 36
  15. 24
  16. 21
  17. 3
  18. 20
  19. 21
  20. 33
  21. 44
  22. 13/80
  23. 1/2
  24. 4
  25. 20
  26. 8
  27. 8
  28. 10/3
  29. 56/11
  30. 10
  31. 33/14
  32. 18/7
  33. 16
  34. 32
  35. 6
  36. 8/5
  37. 39/40
  38. 6
  39. 12
  40. 36

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