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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 267 · 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.Tara can finish a job in 20 days and Aditya in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  2. 2.Ishaan can finish a job in 4 days and Aarav in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  3. 3.Aditya can finish a job in 19 days and Kabir in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Aarav can finish a job in 10 days and Ananya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Arjun can finish a job in 9 days and Vivaan in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Sneha works three times as fast as Kabir. Together they finish a job in 2 days. How many days would Kabir take alone?
  7. 7.Sneha can finish a job in 16 days and Ananya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Pooja and Karan together finish a job in 3 days. Pooja alone takes 6 days. How many days would Karan take alone?
  9. 9.Priya can finish a job in 5 days and Nisha in 20 days. Priya works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  10. 10.Pooja can finish a job in 27 days and Dev in 30 days. Pooja works alone for 9 days and then stops. Dev finishes the rest. How many days does Dev take?
  11. 11.Kavya and Kabir together finish a job in 6 days. Kavya alone takes 10 days. How many days would Kabir take alone?
  12. 12.Karan can finish a job in 16 days and Tara in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Karan can finish a job in 6 days and Zoya in 9 days. Karan works alone for 2 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  14. 14.Rohan and Farhan together finish a job in 8 days. Rohan alone takes 10 days. How many days would Farhan take alone?
  15. 15.Saanvi and Tara together finish a job in 5 days. Saanvi alone takes 10 days. How many days would Tara take alone?
  16. 16.Aarav and Meera together finish a job in 10 days. Aarav alone takes 15 days. How many days would Meera take alone?
  17. 17.Diya works three times as fast as Pooja. Together they finish a job in 8 days. How many days would Pooja take alone?
  18. 18.Nisha can finish a job in 10 days and Manav in 30 days. Nisha works alone for 4 days and then stops. Manav finishes the rest. How many days does Manav take?
  19. 19.Karan can finish a job in 8 days and Saanvi in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  20. 20.Pooja can finish a job in 20 days and Zoya in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Aditya can finish a job in 6 days and Zoya in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Vivaan can finish a job in 19 days and Farhan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Saanvi can finish a job in 19 days and Zoya in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  24. 24.Arjun works three times as fast as Zoya. Together they finish a job in 6 days. How many days would Zoya take alone?
  25. 25.Arjun can finish a job in 28 days and Ishaan in 12 days. Arjun works alone for 7 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  26. 26.Vivaan can finish a job in 6 days and Rohan in 14 days. Vivaan works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  27. 27.Nisha can finish a job in 13 days and Ishaan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Rahul can finish a job in 10 days and Kavya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Pooja can finish a job in 6 days and Farhan in 24 days. Pooja works alone for 1 day and then stops. Farhan finishes the rest. How many days does Farhan take?
  30. 30.Rohan can finish a job in 16 days and Kavya in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  31. 31.Ananya works three times as fast as Nisha. Together they finish a job in 9 days. How many days would Nisha take alone?
  32. 32.Karan works twice as fast as Diya. Together they finish a job in 3 days. How many days would Diya take alone?
  33. 33.Meera can finish a job in 15 days and Aarav in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  34. 34.Manav can finish a job in 15 days and Meera in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  35. 35.Manav and Sneha together finish a job in 4 days. Manav alone takes 5 days. How many days would Sneha take alone?
  36. 36.Saanvi can finish a job in 6 days and Karan in 18 days. Saanvi works alone for 3 days and then stops. Karan finishes the rest. How many days does Karan take?
  37. 37.Rohan and Karan together finish a job in 10 days. Rohan alone takes 30 days. How many days would Karan take alone?
  38. 38.Nisha works three times as fast as Saanvi. Together they finish a job in 12 days. How many days would Saanvi take alone?
  39. 39.Rohan can finish a job in 21 days and Diya in 6 days. Rohan works alone for 7 days and then stops. Diya finishes the rest. How many days does Diya take?
  40. 40.Ananya works three times as fast as Zoya. Together they finish a job in 4 days. How many days would Zoya take alone?

Answer key

  1. 9/10
  2. 9/14
  3. 285/34
  4. 40/9
  5. 45/14
  6. 8
  7. 48/7
  8. 6
  9. 8
  10. 20
  11. 15
  12. 240/31
  13. 6
  14. 40
  15. 10
  16. 30
  17. 32
  18. 18
  19. 81/152
  20. 99/260
  21. 7/24
  22. 228/31
  23. 99/266
  24. 24
  25. 9
  26. 7
  27. 182/27
  28. 10/3
  29. 20
  30. 15/16
  31. 36
  32. 9
  33. 52/165
  34. 19/20
  35. 20
  36. 9
  37. 15
  38. 48
  39. 4
  40. 16

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