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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 463 · 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.Kavya and Rohan together finish a job in 2 days. Kavya alone takes 6 days. How many days would Rohan take alone?
  2. 2.Dev and Pooja together finish a job in 2 days. Dev alone takes 6 days. How many days would Pooja take alone?
  3. 3.Priya can finish a job in 21 days and Aarav in 18 days. Priya works alone for 14 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  4. 4.Saanvi can finish a job in 8 days and Karan in 20 days. Saanvi works alone for 4 days and then stops. Karan finishes the rest. How many days does Karan take?
  5. 5.Rahul can finish a job in 6 days and Aarav in 18 days. Rahul works alone for 5 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  6. 6.Aarav can finish a job in 3 days and Sneha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Arjun works twice as fast as Zoya. Together they finish a job in 2 days. How many days would Zoya take alone?
  8. 8.Ishaan works three times as fast as Farhan. Together they finish a job in 10 days. How many days would Farhan take alone?
  9. 9.Aarav can finish a job in 6 days and Kavya in 30 days. Aarav works alone for 4 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  10. 10.Aarav works three times as fast as Priya. Together they finish a job in 3 days. How many days would Priya take alone?
  11. 11.Kavya can finish a job in 14 days and Rahul in 28 days. Kavya works alone for 6 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  12. 12.Aarav can finish a job in 16 days and Aditya in 4 days. Aarav works alone for 12 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  13. 13.Aditya and Meera together finish a job in 4 days. Aditya alone takes 20 days. How many days would Meera take alone?
  14. 14.Ishaan can finish a job in 10 days and Rahul in 5 days. Ishaan works alone for 4 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  15. 15.Saanvi can finish a job in 6 days and Meera in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Kavya and Meera together finish a job in 14 days. Kavya alone takes 21 days. How many days would Meera take alone?
  17. 17.Farhan can finish a job in 16 days and Saanvi in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Tara can finish a job in 12 days and Sneha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Farhan can finish a job in 15 days and Sneha in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Arjun can finish a job in 22 days and Zoya in 11 days. Arjun works alone for 8 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  21. 21.Dev can finish a job in 18 days and Zoya in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Rahul can finish a job in 5 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. =
  23. 23.Ishaan works three times as fast as Tara. Together they finish a job in 5 days. How many days would Tara take alone?
  24. 24.Karan can finish a job in 30 days and Priya in 12 days. Karan works alone for 5 days and then stops. Priya finishes the rest. How many days does Priya take?
  25. 25.Pooja can finish a job in 6 days and Meera in 26 days. Pooja works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  26. 26.Priya can finish a job in 12 days and Isha in 8 days. Priya works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?
  27. 27.Diya works twice as fast as Meera. Together they finish a job in 2 days. How many days would Meera take alone?
  28. 28.Pooja can finish a job in 24 days and Arjun in 20 days. Pooja works alone for 18 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  29. 29.Farhan and Meera together finish a job in 3 days. Farhan alone takes 4 days. How many days would Meera take alone?
  30. 30.Tara can finish a job in 8 days and Diya in 16 days. Tara works alone for 7 days and then stops. Diya finishes the rest. How many days does Diya take?
  31. 31.Aditya can finish a job in 6 days and Tara in 30 days. Aditya works alone for 5 days and then stops. Tara finishes the rest. How many days does Tara take?
  32. 32.Diya works three times as fast as Isha. Together they finish a job in 4 days. How many days would Isha take alone?
  33. 33.Isha works twice as fast as Ananya. Together they finish a job in 11 days. How many days would Ananya take alone?
  34. 34.Tara works three times as fast as Karan. Together they finish a job in 12 days. How many days would Karan take alone?
  35. 35.Arjun can finish a job in 4 days and Nisha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Farhan can finish a job in 2 days and Pooja in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Kabir can finish a job in 7 days and Rohan in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  38. 38.Arjun can finish a job in 4 days and Pooja in 6 days. Arjun works alone for 2 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  39. 39.Nisha can finish a job in 11 days and Farhan in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  40. 40.Aarav works three times as fast as Ishaan. Together they finish a job in 7 days. How many days would Ishaan take alone?

Answer key

  1. 3
  2. 3
  3. 6
  4. 10
  5. 3
  6. 18/7
  7. 6
  8. 40
  9. 10
  10. 12
  11. 16
  12. 1
  13. 5
  14. 3
  15. 114/25
  16. 42
  17. 9/80
  18. 4
  19. 210/29
  20. 7
  21. 11/36
  22. 30/11
  23. 20
  24. 10
  25. 13
  26. 6
  27. 6
  28. 5
  29. 12
  30. 2
  31. 5
  32. 16
  33. 33
  34. 48
  35. 36/11
  36. 4/3
  37. 48/119
  38. 3
  39. 17/66
  40. 28

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