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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 467 · 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.Arjun can finish a job in 14 days and Karan in 7 days. Arjun works alone for 6 days and then stops. Karan finishes the rest. How many days does Karan take?
  2. 2.Tara can finish a job in 12 days and Dev in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  3. 3.Pooja and Aarav together finish a job in 2 days. Pooja alone takes 4 days. How many days would Aarav take alone?
  4. 4.Farhan can finish a job in 7 days and Meera in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  5. 5.Zoya can finish a job in 4 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. =
  6. 6.Nisha can finish a job in 2 days and Arjun in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Sneha can finish a job in 26 days and Arjun in 13 days. Sneha works alone for 22 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  8. 8.Rahul can finish a job in 2 days and Zoya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Kabir and Tara together finish a job in 2 days. Kabir alone takes 6 days. How many days would Tara take alone?
  10. 10.Tara works three times as fast as Aditya. Together they finish a job in 4 days. How many days would Aditya take alone?
  11. 11.Ishaan can finish a job in 17 days and Rahul in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Farhan works twice as fast as Meera. Together they finish a job in 3 days. How many days would Meera take alone?
  13. 13.Nisha works three times as fast as Priya. Together they finish a job in 3 days. How many days would Priya take alone?
  14. 14.Arjun and Manav together finish a job in 2 days. Arjun alone takes 6 days. How many days would Manav take alone?
  15. 15.Tara can finish a job in 15 days and Ananya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Zoya and Kabir together finish a job in 5 days. Zoya alone takes 6 days. How many days would Kabir take alone?
  17. 17.Nisha can finish a job in 10 days and Diya in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  18. 18.Vivaan can finish a job in 16 days and Isha in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  19. 19.Aarav can finish a job in 11 days and Kabir in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Rahul can finish a job in 17 days and Karan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Saanvi can finish a job in 3 days and Arjun in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Aditya works twice as fast as Tara. Together they finish a job in 12 days. How many days would Tara take alone?
  23. 23.Sneha can finish a job in 7 days and Saanvi in 21 days. Sneha works alone for 2 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  24. 24.Aarav and Ananya together finish a job in 2 days. Aarav alone takes 4 days. How many days would Ananya take alone?
  25. 25.Tara can finish a job in 15 days and Zoya in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  26. 26.Aditya can finish a job in 6 days and Kabir in 12 days. Aditya works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  27. 27.Farhan works three times as fast as Priya. Together they finish a job in 8 days. How many days would Priya take alone?
  28. 28.Priya and Isha together finish a job in 16 days. Priya alone takes 20 days. How many days would Isha take alone?
  29. 29.Dev can finish a job in 14 days and Aarav in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  30. 30.Ananya can finish a job in 15 days and Nisha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Ananya works three times as fast as Saanvi. Together they finish a job in 10 days. How many days would Saanvi take alone?
  32. 32.Aditya can finish a job in 4 days and Dev in 16 days. Aditya works alone for 1 day and then stops. Dev finishes the rest. How many days does Dev take?
  33. 33.Karan can finish a job in 15 days and Pooja in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Aarav can finish a job in 16 days and Manav in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  35. 35.Sneha can finish a job in 18 days and Kabir in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  36. 36.Manav can finish a job in 12 days and Sneha in 24 days. Manav works alone for 6 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  37. 37.Nisha can finish a job in 12 days and Farhan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Ananya can finish a job in 8 days and Vivaan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Aarav can finish a job in 9 days and Ishaan in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  40. 40.Saanvi can finish a job in 28 days and Ishaan in 12 days. Saanvi works alone for 21 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?

Answer key

  1. 4
  2. 5/8
  3. 4
  4. 60/91
  5. 12/5
  6. 26/15
  7. 2
  8. 6/5
  9. 3
  10. 16
  11. 204/29
  12. 9
  13. 12
  14. 3
  15. 105/22
  16. 30
  17. 12/35
  18. 17/144
  19. 209/30
  20. 51/20
  21. 51/20
  22. 36
  23. 15
  24. 4
  25. 34/285
  26. 8
  27. 32
  28. 80
  29. 5/21
  30. 30/17
  31. 40
  32. 12
  33. 285/34
  34. 9/16
  35. 1/2
  36. 12
  37. 36/5
  38. 24/7
  39. 22/39
  40. 3

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