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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 125 · 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.Rahul can finish a job in 4 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. =
  2. 2.Rohan can finish a job in 6 days and Dev in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  3. 3.Dev and Rohan together finish a job in 6 days. Dev alone takes 9 days. How many days would Rohan take alone?
  4. 4.Sneha can finish a job in 6 days and Meera in 12 days. Sneha works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  5. 5.Rohan can finish a job in 5 days and Manav in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Ananya can finish a job in 4 days and Zoya in 28 days. Ananya works alone for 2 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  7. 7.Vivaan works three times as fast as Sneha. Together they finish a job in 9 days. How many days would Sneha take alone?
  8. 8.Farhan can finish a job in 4 days and Kabir in 30 days. Farhan works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  9. 9.Karan and Nisha together finish a job in 6 days. Karan alone takes 7 days. How many days would Nisha take alone?
  10. 10.Karan and Aditya together finish a job in 2 days. Karan alone takes 3 days. How many days would Aditya take alone?
  11. 11.Rahul can finish a job in 17 days and Zoya in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  12. 12.Vivaan can finish a job in 11 days and Ananya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Isha can finish a job in 9 days and Karan in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  14. 14.Farhan can finish a job in 9 days and Sneha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Kabir and Ananya together finish a job in 10 days. Kabir alone takes 30 days. How many days would Ananya take alone?
  16. 16.Karan can finish a job in 5 days and Manav in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  17. 17.Vivaan can finish a job in 17 days and Nisha in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Pooja can finish a job in 4 days and Dev in 8 days. Pooja works alone for 3 days and then stops. Dev finishes the rest. How many days does Dev take?
  19. 19.Arjun can finish a job in 14 days and Aarav in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Arjun and Rohan together finish a job in 4 days. Arjun alone takes 6 days. How many days would Rohan take alone?
  21. 21.Pooja and Aarav together finish a job in 6 days. Pooja alone takes 7 days. How many days would Aarav take alone?
  22. 22.Nisha can finish a job in 6 days and Isha in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Aarav can finish a job in 14 days and Kabir in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  24. 24.Dev can finish a job in 24 days and Isha in 30 days. Dev works alone for 20 days and then stops. Isha finishes the rest. How many days does Isha take?
  25. 25.Ishaan and Tara together finish a job in 4 days. Ishaan alone takes 5 days. How many days would Tara take alone?
  26. 26.Farhan and Sneha together finish a job in 4 days. Farhan alone takes 5 days. How many days would Sneha take alone?
  27. 27.Diya can finish a job in 12 days and Nisha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Aarav and Priya together finish a job in 2 days. Aarav alone takes 6 days. How many days would Priya take alone?
  29. 29.Rohan and Diya together finish a job in 4 days. Rohan alone takes 8 days. How many days would Diya take alone?
  30. 30.Farhan can finish a job in 16 days and Meera in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  31. 31.Vivaan can finish a job in 28 days and Meera in 30 days. Vivaan works alone for 14 days and then stops. Meera finishes the rest. How many days does Meera take?
  32. 32.Kabir can finish a job in 14 days and Saanvi in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  33. 33.Dev works twice as fast as Priya. Together they finish a job in 6 days. How many days would Priya take alone?
  34. 34.Pooja can finish a job in 3 days and Isha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Dev can finish a job in 30 days and Nisha in 10 days. Dev works alone for 9 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  36. 36.Farhan can finish a job in 20 days and Pooja in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Rahul can finish a job in 11 days and Ishaan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Aarav can finish a job in 14 days and Dev in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  39. 39.Nisha can finish a job in 2 days and Saanvi in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Kabir can finish a job in 22 days and Dev in 8 days. Kabir works alone for 11 days and then stops. Dev finishes the rest. How many days does Dev take?

Answer key

  1. 28/9
  2. 25/57
  3. 18
  4. 6
  5. 70/19
  6. 14
  7. 36
  8. 15
  9. 42
  10. 6
  11. 25/136
  12. 66/17
  13. 14/45
  14. 153/26
  15. 15
  16. 8/15
  17. 272/33
  18. 2
  19. 126/23
  20. 12
  21. 42
  22. 11/30
  23. 33/56
  24. 5
  25. 20
  26. 20
  27. 132/23
  28. 3
  29. 8
  30. 13/40
  31. 15
  32. 10/21
  33. 18
  34. 21/10
  35. 7
  36. 99/260
  37. 110/21
  38. 19/70
  39. 3/2
  40. 4

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