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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 379 · 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.Manav can finish a job in 20 days and Arjun in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Saanvi can finish a job in 13 days and Dev in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  3. 3.Karan can finish a job in 18 days and Pooja in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Rohan works twice as fast as Priya. Together they finish a job in 4 days. How many days would Priya take alone?
  5. 5.Nisha can finish a job in 4 days and Kavya in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  6. 6.Isha and Rohan together finish a job in 14 days. Isha alone takes 21 days. How many days would Rohan take alone?
  7. 7.Manav works twice as fast as Kabir. Together they finish a job in 3 days. How many days would Kabir take alone?
  8. 8.Vivaan can finish a job in 20 days and Nisha in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Dev can finish a job in 14 days and Arjun in 22 days. Dev works alone for 7 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  10. 10.Arjun can finish a job in 12 days and Ishaan in 27 days. Arjun works alone for 4 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  11. 11.Tara works twice as fast as Sneha. Together they finish a job in 8 days. How many days would Sneha take alone?
  12. 12.Ananya can finish a job in 14 days and Meera in 26 days. Ananya works alone for 7 days and then stops. Meera finishes the rest. How many days does Meera take?
  13. 13.Kavya works three times as fast as Ishaan. Together they finish a job in 2 days. How many days would Ishaan take alone?
  14. 14.Zoya can finish a job in 17 days and Kavya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Saanvi can finish a job in 30 days and Karan in 4 days. Saanvi works alone for 15 days and then stops. Karan finishes the rest. How many days does Karan take?
  16. 16.Rohan works twice as fast as Tara. Together they finish a job in 7 days. How many days would Tara take alone?
  17. 17.Diya can finish a job in 8 days and Karan in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  18. 18.Vivaan can finish a job in 4 days and Kavya in 28 days. Vivaan works alone for 2 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  19. 19.Aditya works twice as fast as Rahul. Together they finish a job in 2 days. How many days would Rahul take alone?
  20. 20.Diya can finish a job in 3 days and Kabir in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Ishaan can finish a job in 15 days and Rohan in 25 days. Ishaan works alone for 9 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  22. 22.Kavya can finish a job in 11 days and Tara in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Tara and Ananya together finish a job in 2 days. Tara alone takes 3 days. How many days would Ananya take alone?
  24. 24.Meera and Pooja together finish a job in 6 days. Meera alone takes 10 days. How many days would Pooja take alone?
  25. 25.Sneha can finish a job in 15 days and Nisha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Rohan can finish a job in 30 days and Karan in 5 days. Rohan works alone for 18 days and then stops. Karan finishes the rest. How many days does Karan take?
  27. 27.Nisha can finish a job in 13 days and Arjun in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  28. 28.Rahul can finish a job in 27 days and Zoya in 18 days. Rahul works alone for 3 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  29. 29.Manav works three times as fast as Farhan. Together they finish a job in 12 days. How many days would Farhan take alone?
  30. 30.Tara and Aditya together finish a job in 6 days. Tara alone takes 8 days. How many days would Aditya take alone?
  31. 31.Sneha can finish a job in 8 days and Diya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Saanvi and Arjun together finish a job in 2 days. Saanvi alone takes 3 days. How many days would Arjun take alone?
  33. 33.Karan can finish a job in 5 days and Tara in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Karan can finish a job in 7 days and Zoya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Vivaan can finish a job in 11 days and Aditya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Tara and Meera together finish a job in 6 days. Tara alone takes 8 days. How many days would Meera take alone?
  37. 37.Ananya can finish a job in 4 days and Manav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Priya can finish a job in 4 days and Tara in 8 days. Priya works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
  39. 39.Manav can finish a job in 7 days and Aditya in 21 days. Manav works alone for 1 day and then stops. Aditya finishes the rest. How many days does Aditya take?
  40. 40.Zoya and Farhan together finish a job in 21 days. Zoya alone takes 30 days. How many days would Farhan take alone?

Answer key

  1. 4
  2. 99/260
  3. 23/90
  4. 12
  5. 19/30
  6. 42
  7. 9
  8. 15/2
  9. 11
  10. 18
  11. 24
  12. 13
  13. 8
  14. 102/23
  15. 2
  16. 21
  17. 27/40
  18. 14
  19. 6
  20. 18/7
  21. 10
  22. 55/16
  23. 6
  24. 15
  25. 60/19
  26. 2
  27. 17/52
  28. 16
  29. 48
  30. 24
  31. 56/11
  32. 6
  33. 10/3
  34. 112/23
  35. 176/27
  36. 24
  37. 12/5
  38. 6
  39. 18
  40. 70

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