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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 343 · 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 works twice as fast as Rohan. Together they finish a job in 5 days. How many days would Rohan take alone?
  2. 2.Dev can finish a job in 18 days and Priya in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  3. 3.Nisha can finish a job in 19 days and Diya in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Vivaan can finish a job in 10 days and Sneha in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  5. 5.Meera and Aditya together finish a job in 9 days. Meera alone takes 12 days. How many days would Aditya take alone?
  6. 6.Priya and Aarav together finish a job in 8 days. Priya alone takes 12 days. How many days would Aarav take alone?
  7. 7.Pooja works twice as fast as Farhan. Together they finish a job in 10 days. How many days would Farhan take alone?
  8. 8.Manav works twice as fast as Ananya. Together they finish a job in 12 days. How many days would Ananya take alone?
  9. 9.Aditya and Arjun together finish a job in 2 days. Aditya alone takes 3 days. How many days would Arjun take alone?
  10. 10.Farhan can finish a job in 17 days and Dev in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Meera can finish a job in 4 days and Ananya in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  12. 12.Kabir and Zoya together finish a job in 7 days. Kabir alone takes 14 days. How many days would Zoya take alone?
  13. 13.Pooja can finish a job in 8 days and Diya in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  14. 14.Farhan can finish a job in 11 days and Sneha in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  15. 15.Priya works three times as fast as Meera. Together they finish a job in 9 days. How many days would Meera take alone?
  16. 16.Nisha works three times as fast as Rahul. Together they finish a job in 7 days. How many days would Rahul take alone?
  17. 17.Priya can finish a job in 12 days and Pooja in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Meera can finish a job in 17 days and Diya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Meera can finish a job in 20 days and Ishaan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Diya works three times as fast as Vivaan. Together they finish a job in 12 days. How many days would Vivaan take alone?
  21. 21.Tara can finish a job in 8 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. =
  22. 22.Ananya can finish a job in 16 days and Rahul in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Ishaan works twice as fast as Arjun. Together they finish a job in 12 days. How many days would Arjun take alone?
  24. 24.Aditya can finish a job in 7 days and Rohan in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Vivaan can finish a job in 8 days and Isha in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Saanvi can finish a job in 7 days and Sneha in 21 days. Saanvi works alone for 4 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  27. 27.Nisha and Rohan together finish a job in 2 days. Nisha alone takes 3 days. How many days would Rohan take alone?
  28. 28.Aditya can finish a job in 4 days and Priya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  29. 29.Arjun works twice as fast as Saanvi. Together they finish a job in 10 days. How many days would Saanvi take alone?
  30. 30.Saanvi and Karan together finish a job in 16 days. Saanvi alone takes 20 days. How many days would Karan take alone?
  31. 31.Dev can finish a job in 20 days and Saanvi in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Sneha works three times as fast as Kabir. Together they finish a job in 10 days. How many days would Kabir take alone?
  33. 33.Diya can finish a job in 15 days and Sneha in 27 days. Diya works alone for 5 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  34. 34.Karan can finish a job in 17 days and Aarav in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Tara and Arjun together finish a job in 3 days. Tara alone takes 12 days. How many days would Arjun take alone?
  36. 36.Farhan can finish a job in 4 days and Isha in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Rahul can finish a job in 7 days and Dev in 11 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 4 days and Nisha in 8 days. Ananya works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  39. 39.Aditya can finish a job in 11 days and Vivaan in 22 days. Aditya works alone for 4 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  40. 40.Arjun can finish a job in 12 days and Rohan in 6 days. Arjun works alone for 10 days and then stops. Rohan finishes the rest. How many days does Rohan take?

Answer key

  1. 15
  2. 31/78
  3. 31/228
  4. 9/20
  5. 36
  6. 24
  7. 30
  8. 36
  9. 6
  10. 85/22
  11. 11/14
  12. 14
  13. 15/28
  14. 31/110
  15. 36
  16. 28
  17. 11/60
  18. 85/22
  19. 10/3
  20. 48
  21. 24/7
  22. 17/144
  23. 36
  24. 23/112
  25. 9/16
  26. 9
  27. 6
  28. 19/60
  29. 30
  30. 80
  31. 380/39
  32. 40
  33. 18
  34. 170/27
  35. 4
  36. 7/10
  37. 77/18
  38. 2
  39. 14
  40. 1

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