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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 206 · 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.Rahul works three times as fast as Priya. Together they finish a job in 3 days. How many days would Priya take alone?
  2. 2.Aarav can finish a job in 12 days and Arjun in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Rahul can finish a job in 13 days and Vivaan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Diya and Meera together finish a job in 4 days. Diya alone takes 6 days. How many days would Meera take alone?
  5. 5.Aditya can finish a job in 11 days and Manav in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Ananya can finish a job in 5 days and Aarav in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Zoya can finish a job in 10 days and Kavya in 20 days. Zoya works alone for 9 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  8. 8.Aditya can finish a job in 4 days and Aarav in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Sneha can finish a job in 4 days and Arjun in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Farhan can finish a job in 24 days and Diya in 4 days. Farhan works alone for 18 days and then stops. Diya finishes the rest. How many days does Diya take?
  11. 11.Rahul can finish a job in 15 days and Pooja in 30 days. Rahul works alone for 9 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  12. 12.Isha can finish a job in 5 days and Diya in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Rohan works three times as fast as Zoya. Together they finish a job in 3 days. How many days would Zoya take alone?
  14. 14.Meera and Zoya together finish a job in 15 days. Meera alone takes 24 days. How many days would Zoya take alone?
  15. 15.Kabir can finish a job in 20 days and Vivaan in 24 days. Kabir works alone for 15 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  16. 16.Arjun can finish a job in 18 days and Manav in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Ananya can finish a job in 17 days and Aarav in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  18. 18.Ananya can finish a job in 7 days and Manav in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Zoya can finish a job in 11 days and Meera in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Pooja can finish a job in 20 days and Zoya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  21. 21.Tara works three times as fast as Rahul. Together they finish a job in 3 days. How many days would Rahul take alone?
  22. 22.Pooja can finish a job in 8 days and Priya in 16 days. Pooja works alone for 5 days and then stops. Priya finishes the rest. How many days does Priya take?
  23. 23.Pooja and Dev together finish a job in 3 days. Pooja alone takes 6 days. How many days would Dev take alone?
  24. 24.Vivaan can finish a job in 7 days and Karan in 14 days. Vivaan works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
  25. 25.Sneha can finish a job in 11 days and Zoya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Saanvi can finish a job in 17 days and Rohan in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Diya works three times as fast as Ishaan. Together they finish a job in 8 days. How many days would Ishaan take alone?
  28. 28.Nisha can finish a job in 4 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. =
  29. 29.Ananya and Aditya together finish a job in 2 days. Ananya alone takes 3 days. How many days would Aditya take alone?
  30. 30.Priya can finish a job in 3 days and Aarav in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Ananya and Manav together finish a job in 3 days. Ananya alone takes 4 days. How many days would Manav take alone?
  32. 32.Pooja and Priya together finish a job in 4 days. Pooja alone takes 6 days. How many days would Priya take alone?
  33. 33.Rohan can finish a job in 9 days and Dev in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Rohan can finish a job in 3 days and Ishaan in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Priya can finish a job in 6 days and Farhan in 24 days. Priya works alone for 5 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  36. 36.Karan can finish a job in 8 days and Manav in 20 days. Karan works alone for 2 days and then stops. Manav finishes the rest. How many days does Manav take?
  37. 37.Rohan and Manav together finish a job in 4 days. Rohan alone takes 8 days. How many days would Manav take alone?
  38. 38.Farhan can finish a job in 15 days and Rohan in 30 days. Farhan works alone for 14 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  39. 39.Meera can finish a job in 7 days and Diya in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  40. 40.Tara can finish a job in 6 days and Aarav in 30 days. Tara works alone for 1 day and then stops. Aarav finishes the rest. How many days does Aarav take?

Answer key

  1. 12
  2. 1/4
  3. 39/16
  4. 12
  5. 33/14
  6. 15/8
  7. 2
  8. 4/3
  9. 3/10
  10. 1
  11. 12
  12. 3/10
  13. 12
  14. 40
  15. 6
  16. 234/31
  17. 63/68
  18. 84/19
  19. 88/19
  20. 380/39
  21. 12
  22. 6
  23. 6
  24. 8
  25. 77/18
  26. 21/34
  27. 32
  28. 60/19
  29. 6
  30. 51/20
  31. 12
  32. 12
  33. 99/20
  34. 21/10
  35. 4
  36. 15
  37. 8
  38. 2
  39. 9/14
  40. 25

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