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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 508 · 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.Ananya and Nisha together finish a job in 2 days. Ananya alone takes 3 days. How many days would Nisha take alone?
  2. 2.Rohan can finish a job in 14 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. =
  3. 3.Pooja can finish a job in 6 days and Manav in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Kavya can finish a job in 9 days and Karan in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  5. 5.Meera can finish a job in 12 days and Dev in 24 days. Meera works alone for 3 days and then stops. Dev finishes the rest. How many days does Dev take?
  6. 6.Isha can finish a job in 19 days and Manav in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Kabir works twice as fast as Rohan. Together they finish a job in 7 days. How many days would Rohan take alone?
  8. 8.Kavya can finish a job in 7 days and Ananya in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Meera can finish a job in 14 days and Diya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Aditya can finish a job in 14 days and Nisha in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  11. 11.Arjun works twice as fast as Rohan. Together they finish a job in 5 days. How many days would Rohan take alone?
  12. 12.Tara can finish a job in 10 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.Meera can finish a job in 5 days and Diya in 30 days. Meera works alone for 1 day and then stops. Diya finishes the rest. How many days does Diya take?
  14. 14.Priya can finish a job in 7 days and Karan in 14 days. Priya works alone for 4 days and then stops. Karan finishes the rest. How many days does Karan take?
  15. 15.Rohan and Diya together finish a job in 3 days. Rohan alone takes 4 days. How many days would Diya take alone?
  16. 16.Dev works three times as fast as Kabir. Together they finish a job in 5 days. How many days would Kabir take alone?
  17. 17.Rahul works twice as fast as Saanvi. Together they finish a job in 9 days. How many days would Saanvi take alone?
  18. 18.Vivaan can finish a job in 9 days and Dev in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  19. 19.Kavya and Zoya together finish a job in 3 days. Kavya alone takes 12 days. How many days would Zoya take alone?
  20. 20.Ishaan and Isha together finish a job in 15 days. Ishaan alone takes 24 days. How many days would Isha take alone?
  21. 21.Farhan and Dev together finish a job in 3 days. Farhan alone takes 6 days. How many days would Dev take alone?
  22. 22.Zoya and Aditya together finish a job in 2 days. Zoya alone takes 4 days. How many days would Aditya take alone?
  23. 23.Kabir can finish a job in 20 days and Aditya in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  24. 24.Kavya and Pooja together finish a job in 2 days. Kavya alone takes 3 days. How many days would Pooja take alone?
  25. 25.Nisha can finish a job in 10 days and Farhan in 9 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Aarav can finish a job in 15 days and Nisha in 5 days. Aarav works alone for 9 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  27. 27.Nisha can finish a job in 30 days and Farhan in 20 days. Nisha works alone for 12 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  28. 28.Aditya can finish a job in 10 days and Farhan in 30 days. Aditya works alone for 7 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  29. 29.Aarav and Vivaan together finish a job in 2 days. Aarav alone takes 6 days. How many days would Vivaan take alone?
  30. 30.Aditya can finish a job in 15 days and Rohan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Arjun and Rahul together finish a job in 4 days. Arjun alone takes 8 days. How many days would Rahul take alone?
  32. 32.Dev and Karan together finish a job in 2 days. Dev alone takes 4 days. How many days would Karan take alone?
  33. 33.Ananya can finish a job in 28 days and Tara in 4 days. Ananya works alone for 14 days and then stops. Tara finishes the rest. How many days does Tara take?
  34. 34.Zoya can finish a job in 12 days and Rahul in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Isha and Vivaan together finish a job in 2 days. Isha alone takes 3 days. How many days would Vivaan take alone?
  36. 36.Kavya can finish a job in 11 days and Farhan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Meera and Sneha together finish a job in 7 days. Meera alone takes 8 days. How many days would Sneha take alone?
  38. 38.Nisha and Ishaan together finish a job in 2 days. Nisha alone takes 3 days. How many days would Ishaan take alone?
  39. 39.Saanvi can finish a job in 12 days and Rohan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Arjun can finish a job in 7 days and Farhan in 9 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. 238/31
  3. 17/22
  4. 13/18
  5. 18
  6. 152/27
  7. 21
  8. 27/140
  9. 28/9
  10. 15/112
  11. 15
  12. 20/7
  13. 24
  14. 6
  15. 12
  16. 20
  17. 27
  18. 20/33
  19. 4
  20. 40
  21. 6
  22. 4
  23. 4/15
  24. 6
  25. 19/30
  26. 2
  27. 12
  28. 9
  29. 3
  30. 30/7
  31. 8
  32. 4
  33. 2
  34. 36/7
  35. 6
  36. 99/20
  37. 56
  38. 6
  39. 4
  40. 63/16

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