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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 302 · 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.Vivaan can finish a job in 5 days and Farhan in 15 days. Vivaan works alone for 4 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  2. 2.Karan can finish a job in 25 days and Nisha in 5 days. Karan works alone for 5 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  3. 3.Kabir can finish a job in 16 days and Isha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Arjun can finish a job in 8 days and Meera in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Aditya can finish a job in 14 days and Priya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Pooja can finish a job in 18 days and Meera in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  7. 7.Karan can finish a job in 24 days and Manav in 15 days. Karan works alone for 8 days and then stops. Manav finishes the rest. How many days does Manav take?
  8. 8.Pooja can finish a job in 5 days and Rahul in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Aarav can finish a job in 5 days and Kavya in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  10. 10.Kabir can finish a job in 6 days and Sneha in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Aditya can finish a job in 18 days and Priya in 9 days. Aditya works alone for 4 days and then stops. Priya finishes the rest. How many days does Priya take?
  12. 12.Zoya can finish a job in 20 days and Karan in 12 days. Zoya works alone for 5 days and then stops. Karan finishes the rest. How many days does Karan take?
  13. 13.Ishaan and Nisha together finish a job in 6 days. Ishaan alone takes 8 days. How many days would Nisha take alone?
  14. 14.Nisha can finish a job in 26 days and Sneha in 20 days. Nisha works alone for 13 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  15. 15.Meera works twice as fast as Nisha. Together they finish a job in 7 days. How many days would Nisha take alone?
  16. 16.Isha can finish a job in 28 days and Karan in 4 days. Isha works alone for 21 days and then stops. Karan finishes the rest. How many days does Karan take?
  17. 17.Karan and Pooja together finish a job in 8 days. Karan alone takes 10 days. How many days would Pooja take alone?
  18. 18.Karan works twice as fast as Pooja. Together they finish a job in 3 days. How many days would Pooja take alone?
  19. 19.Tara and Dev together finish a job in 2 days. Tara alone takes 3 days. How many days would Dev take alone?
  20. 20.Rohan can finish a job in 9 days and Nisha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Diya can finish a job in 13 days and Farhan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Kavya can finish a job in 8 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. =
  23. 23.Saanvi and Diya together finish a job in 2 days. Saanvi alone takes 3 days. How many days would Diya take alone?
  24. 24.Nisha and Ananya together finish a job in 4 days. Nisha alone takes 8 days. How many days would Ananya take alone?
  25. 25.Meera can finish a job in 10 days and Manav in 8 days. Meera works alone for 5 days and then stops. Manav finishes the rest. How many days does Manav take?
  26. 26.Isha can finish a job in 19 days and Diya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Rohan can finish a job in 6 days and Ananya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Rahul and Nisha together finish a job in 18 days. Rahul alone takes 24 days. How many days would Nisha take alone?
  29. 29.Pooja can finish a job in 17 days and Vivaan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Karan can finish a job in 14 days and Rohan in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Rahul can finish a job in 7 days and Kavya in 28 days. Rahul works alone for 1 day and then stops. Kavya finishes the rest. How many days does Kavya take?
  32. 32.Saanvi works twice as fast as Vivaan. Together they finish a job in 3 days. How many days would Vivaan take alone?
  33. 33.Dev and Sneha together finish a job in 2 days. Dev alone takes 3 days. How many days would Sneha take alone?
  34. 34.Nisha can finish a job in 9 days and Manav in 10 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 30 days and Kavya in 25 days. Vivaan works alone for 24 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  36. 36.Nisha works twice as fast as Pooja. Together they finish a job in 12 days. How many days would Pooja take alone?
  37. 37.Farhan can finish a job in 19 days and Aarav in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  38. 38.Ananya and Rahul together finish a job in 2 days. Ananya alone takes 3 days. How many days would Rahul take alone?
  39. 39.Farhan can finish a job in 12 days and Saanvi in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Sneha can finish a job in 4 days and Manav in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 3
  2. 4
  3. 48/11
  4. 24/5
  5. 140/17
  6. 25/42
  7. 10
  8. 23/90
  9. 17/20
  10. 19/26
  11. 7
  12. 9
  13. 24
  14. 10
  15. 21
  16. 1
  17. 40
  18. 9
  19. 6
  20. 63/16
  21. 221/30
  22. 16/3
  23. 6
  24. 8
  25. 4
  26. 285/34
  27. 15/4
  28. 72
  29. 187/28
  30. 19/70
  31. 24
  32. 9
  33. 6
  34. 90/19
  35. 5
  36. 36
  37. 30/209
  38. 6
  39. 60/11
  40. 20/9

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