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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 333 · 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 works three times as fast as Pooja. Together they finish a job in 6 days. How many days would Pooja take alone?
  2. 2.Ishaan and Karan together finish a job in 6 days. Ishaan alone takes 8 days. How many days would Karan take alone?
  3. 3.Saanvi can finish a job in 11 days and Ishaan in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  4. 4.Kabir and Rohan together finish a job in 9 days. Kabir alone takes 10 days. How many days would Rohan take alone?
  5. 5.Dev works twice as fast as Isha. Together they finish a job in 4 days. How many days would Isha take alone?
  6. 6.Aarav can finish a job in 16 days and Saanvi in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Vivaan works three times as fast as Tara. Together they finish a job in 3 days. How many days would Tara take alone?
  8. 8.Nisha and Sneha together finish a job in 8 days. Nisha alone takes 24 days. How many days would Sneha take alone?
  9. 9.Karan can finish a job in 16 days and Meera in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Priya can finish a job in 6 days and Kabir in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Priya can finish a job in 4 days and Isha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Priya can finish a job in 20 days and Arjun in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  13. 13.Tara can finish a job in 21 days and Zoya in 28 days. Tara works alone for 15 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  14. 14.Sneha can finish a job in 6 days and Rahul in 27 days. Sneha works alone for 2 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  15. 15.Sneha can finish a job in 7 days and Tara in 21 days. Sneha works alone for 6 days and then stops. Tara finishes the rest. How many days does Tara take?
  16. 16.Aarav can finish a job in 6 days and Rohan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Isha can finish a job in 19 days and Ishaan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Aarav can finish a job in 5 days and Karan in 30 days. Aarav works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
  19. 19.Dev can finish a job in 10 days and Vivaan in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  20. 20.Karan can finish a job in 10 days and Rahul in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Rohan works twice as fast as Arjun. Together they finish a job in 3 days. How many days would Arjun take alone?
  22. 22.Manav works twice as fast as Nisha. Together they finish a job in 8 days. How many days would Nisha take alone?
  23. 23.Dev can finish a job in 9 days and Manav in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Manav can finish a job in 20 days and Ishaan in 10 days. What fraction of the job do they finish if they work together for 2 days? =
  25. 25.Vivaan can finish a job in 12 days and Priya in 28 days. Vivaan works alone for 9 days and then stops. Priya finishes the rest. How many days does Priya take?
  26. 26.Kabir can finish a job in 12 days and Sneha in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Diya can finish a job in 15 days and Nisha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Isha can finish a job in 19 days and Kabir in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  29. 29.Rohan can finish a job in 16 days and Zoya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Pooja can finish a job in 18 days and Sneha in 9 days. Pooja works alone for 6 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  31. 31.Manav can finish a job in 9 days and Rohan in 18 days. Manav works alone for 8 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  32. 32.Farhan works three times as fast as Pooja. Together they finish a job in 7 days. How many days would Pooja take alone?
  33. 33.Farhan and Priya together finish a job in 2 days. Farhan alone takes 3 days. How many days would Priya take alone?
  34. 34.Kavya can finish a job in 20 days and Aditya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Isha can finish a job in 6 days and Manav in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  36. 36.Dev can finish a job in 17 days and Meera in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  37. 37.Zoya and Sneha together finish a job in 15 days. Zoya alone takes 18 days. How many days would Sneha take alone?
  38. 38.Aditya can finish a job in 12 days and Vivaan in 14 days. Aditya works alone for 6 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  39. 39.Ishaan can finish a job in 4 days and Tara in 28 days. Ishaan works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
  40. 40.Aarav and Vivaan together finish a job in 3 days. Aarav alone takes 4 days. How many days would Vivaan take alone?

Answer key

  1. 24
  2. 24
  3. 19/44
  4. 90
  5. 12
  6. 272/33
  7. 12
  8. 12
  9. 23/56
  10. 114/25
  11. 68/21
  12. 19/60
  13. 8
  14. 18
  15. 3
  16. 9/2
  17. 209/30
  18. 12
  19. 1/3
  20. 27/85
  21. 9
  22. 24
  23. 99/20
  24. 3/10
  25. 7
  26. 228/31
  27. 30/7
  28. 35/152
  29. 16/9
  30. 6
  31. 2
  32. 28
  33. 6
  34. 60/13
  35. 5/18
  36. 99/272
  37. 90
  38. 7
  39. 21
  40. 12

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