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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 285 · 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.Karan and Saanvi together finish a job in 2 days. Karan alone takes 3 days. How many days would Saanvi take alone?
  2. 2.Meera can finish a job in 2 days and Sneha in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Arjun can finish a job in 12 days and Priya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Farhan can finish a job in 11 days and Rahul in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Arjun and Aditya together finish a job in 6 days. Arjun alone takes 24 days. How many days would Aditya take alone?
  6. 6.Kabir can finish a job in 14 days and Tara in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Manav works three times as fast as Ishaan. Together they finish a job in 7 days. How many days would Ishaan take alone?
  8. 8.Diya can finish a job in 18 days and Ananya in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Diya can finish a job in 7 days and Zoya in 28 days. Diya works alone for 6 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  10. 10.Ananya and Karan together finish a job in 2 days. Ananya alone takes 4 days. How many days would Karan take alone?
  11. 11.Kavya works three times as fast as Sneha. Together they finish a job in 8 days. How many days would Sneha take alone?
  12. 12.Diya can finish a job in 17 days and Sneha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Tara can finish a job in 5 days and Priya in 10 days. Tara works alone for 2 days and then stops. Priya finishes the rest. How many days does Priya take?
  14. 14.Kavya can finish a job in 10 days and Meera in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Priya can finish a job in 10 days and Arjun in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  16. 16.Meera can finish a job in 7 days and Nisha in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  17. 17.Meera can finish a job in 5 days and Zoya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Ishaan works three times as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
  19. 19.Priya and Karan together finish a job in 3 days. Priya alone takes 4 days. How many days would Karan take alone?
  20. 20.Ananya can finish a job in 17 days and Aditya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Meera can finish a job in 11 days and Dev in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Pooja can finish a job in 5 days and Arjun in 10 days. Pooja works alone for 2 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  23. 23.Ishaan and Ananya together finish a job in 5 days. Ishaan alone takes 6 days. How many days would Ananya take alone?
  24. 24.Pooja can finish a job in 6 days and Farhan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Karan can finish a job in 20 days and Pooja in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Kabir can finish a job in 8 days and Farhan in 16 days. Kabir works alone for 6 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  27. 27.Ananya can finish a job in 8 days and Dev in 24 days. Ananya works alone for 3 days and then stops. Dev finishes the rest. How many days does Dev take?
  28. 28.Farhan and Ananya together finish a job in 2 days. Farhan alone takes 4 days. How many days would Ananya take alone?
  29. 29.Diya can finish a job in 7 days and Farhan in 21 days. Diya works alone for 3 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  30. 30.Rahul can finish a job in 24 days and Diya in 8 days. Rahul works alone for 9 days and then stops. Diya finishes the rest. How many days does Diya take?
  31. 31.Karan can finish a job in 9 days and Manav in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  32. 32.Sneha works twice as fast as Pooja. Together they finish a job in 6 days. How many days would Pooja take alone?
  33. 33.Aditya can finish a job in 8 days and Farhan in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Aditya can finish a job in 15 days and Kavya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Saanvi can finish a job in 7 days and Meera in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Aditya works three times as fast as Aarav. Together they finish a job in 5 days. How many days would Aarav take alone?
  37. 37.Pooja can finish a job in 19 days and Kabir in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Priya can finish a job in 10 days and Rohan in 20 days. Priya works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  39. 39.Kabir can finish a job in 14 days and Ananya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Isha can finish a job in 13 days and Meera in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 6
  2. 20/11
  3. 15/2
  4. 187/28
  5. 8
  6. 112/15
  7. 28
  8. 13/72
  9. 4
  10. 4
  11. 32
  12. 68/21
  13. 6
  14. 21/110
  15. 21/110
  16. 13/42
  17. 4/15
  18. 16
  19. 12
  20. 323/36
  21. 165/26
  22. 6
  23. 30
  24. 2
  25. 93/220
  26. 4
  27. 15
  28. 4
  29. 12
  30. 5
  31. 19/45
  32. 18
  33. 40/7
  34. 210/29
  35. 91/20
  36. 20
  37. 90/209
  38. 14
  39. 112/15
  40. 65/18

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