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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 249 · 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.Aarav can finish a job in 13 days and Aditya in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  2. 2.Kavya and Ananya together finish a job in 6 days. Kavya alone takes 7 days. How many days would Ananya take alone?
  3. 3.Aditya can finish a job in 2 days and Ananya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Tara and Farhan together finish a job in 3 days. Tara alone takes 4 days. How many days would Farhan take alone?
  5. 5.Rohan and Ishaan together finish a job in 2 days. Rohan alone takes 3 days. How many days would Ishaan take alone?
  6. 6.Isha can finish a job in 14 days and Ishaan in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Kabir works three times as fast as Isha. Together they finish a job in 2 days. How many days would Isha take alone?
  8. 8.Kavya can finish a job in 19 days and Arjun in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Rohan works three times as fast as Farhan. Together they finish a job in 12 days. How many days would Farhan take alone?
  10. 10.Pooja works twice as fast as Sneha. Together they finish a job in 9 days. How many days would Sneha take alone?
  11. 11.Meera can finish a job in 27 days and Farhan in 9 days. Meera works alone for 24 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  12. 12.Priya can finish a job in 4 days and Ananya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Kavya and Tara together finish a job in 15 days. Kavya alone takes 24 days. How many days would Tara take alone?
  14. 14.Dev can finish a job in 17 days and Manav in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Saanvi and Farhan together finish a job in 2 days. Saanvi alone takes 3 days. How many days would Farhan take alone?
  16. 16.Zoya can finish a job in 16 days and Sneha in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  17. 17.Arjun can finish a job in 12 days and Sneha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Manav can finish a job in 2 days and Arjun in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Karan works three times as fast as Priya. Together they finish a job in 10 days. How many days would Priya take alone?
  20. 20.Dev can finish a job in 9 days and Tara in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Karan can finish a job in 15 days and Farhan in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Sneha can finish a job in 9 days and Ananya in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  23. 23.Meera works twice as fast as Sneha. Together they finish a job in 10 days. How many days would Sneha take alone?
  24. 24.Pooja can finish a job in 14 days and Sneha in 7 days. Pooja works alone for 12 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  25. 25.Vivaan can finish a job in 7 days and Aditya in 28 days. Vivaan works alone for 6 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  26. 26.Ananya can finish a job in 8 days and Kabir in 16 days. Ananya works alone for 7 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  27. 27.Sneha can finish a job in 16 days and Zoya in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  28. 28.Ananya works twice as fast as Farhan. Together they finish a job in 6 days. How many days would Farhan take alone?
  29. 29.Rohan and Arjun together finish a job in 2 days. Rohan alone takes 3 days. How many days would Arjun take alone?
  30. 30.Ishaan can finish a job in 20 days and Isha in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  31. 31.Pooja can finish a job in 14 days and Tara in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Dev and Pooja together finish a job in 2 days. Dev alone takes 3 days. How many days would Pooja take alone?
  33. 33.Ishaan can finish a job in 16 days and Tara in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  34. 34.Diya can finish a job in 12 days and Meera in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Sneha can finish a job in 7 days and Rohan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Pooja can finish a job in 11 days and Sneha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Priya can finish a job in 11 days and Tara in 22 days. Priya works alone for 8 days and then stops. Tara finishes the rest. How many days does Tara take?
  38. 38.Aditya and Farhan together finish a job in 2 days. Aditya alone takes 3 days. How many days would Farhan take alone?
  39. 39.Ananya can finish a job in 9 days and Manav in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Meera can finish a job in 17 days and Sneha in 19 days. What fraction of the job do they finish if they work together for 1 day? =

Answer key

  1. 19/39
  2. 42
  3. 6/5
  4. 12
  5. 6
  6. 6/35
  7. 8
  8. 133/26
  9. 48
  10. 27
  11. 1
  12. 20/9
  13. 40
  14. 24/119
  15. 6
  16. 35/152
  17. 60/17
  18. 18/11
  19. 40
  20. 171/28
  21. 32/255
  22. 20/33
  23. 30
  24. 1
  25. 4
  26. 2
  27. 3/8
  28. 18
  29. 6
  30. 4/15
  31. 25/154
  32. 6
  33. 17/72
  34. 48/7
  35. 119/24
  36. 22/13
  37. 6
  38. 6
  39. 36/13
  40. 36/323

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