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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 416 · 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.Diya can finish a job in 10 days and Kabir in 25 days. Diya works alone for 4 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  2. 2.Pooja can finish a job in 9 days and Ishaan in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  3. 3.Tara can finish a job in 17 days and Ananya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Kabir can finish a job in 7 days and Aarav in 21 days. Kabir works alone for 1 day and then stops. Aarav finishes the rest. How many days does Aarav take?
  5. 5.Kavya can finish a job in 10 days and Vivaan in 25 days. Kavya works alone for 4 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  6. 6.Farhan works twice as fast as Dev. Together they finish a job in 11 days. How many days would Dev take alone?
  7. 7.Karan can finish a job in 12 days and Tara in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Arjun works twice as fast as Manav. Together they finish a job in 3 days. How many days would Manav take alone?
  9. 9.Nisha works twice as fast as Aditya. Together they finish a job in 7 days. How many days would Aditya take alone?
  10. 10.Dev and Rahul together finish a job in 2 days. Dev alone takes 4 days. How many days would Rahul take alone?
  11. 11.Meera and Farhan together finish a job in 8 days. Meera alone takes 10 days. How many days would Farhan take alone?
  12. 12.Dev can finish a job in 9 days and Rahul in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  13. 13.Ishaan and Aarav together finish a job in 2 days. Ishaan alone takes 4 days. How many days would Aarav take alone?
  14. 14.Zoya can finish a job in 4 days and Kavya in 6 days. Zoya works alone for 2 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  15. 15.Diya can finish a job in 19 days and Manav in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Sneha and Rohan together finish a job in 2 days. Sneha alone takes 4 days. How many days would Rohan take alone?
  17. 17.Rohan can finish a job in 11 days and Kabir in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  18. 18.Nisha can finish a job in 2 days and Priya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Kabir can finish a job in 6 days and Tara in 24 days. Kabir works alone for 2 days and then stops. Tara finishes the rest. How many days does Tara take?
  20. 20.Aarav and Kavya together finish a job in 3 days. Aarav alone takes 6 days. How many days would Kavya take alone?
  21. 21.Saanvi can finish a job in 18 days and Kavya in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  22. 22.Aarav can finish a job in 11 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. =
  23. 23.Pooja can finish a job in 9 days and Dev in 15 days. Pooja works alone for 6 days and then stops. Dev finishes the rest. How many days does Dev take?
  24. 24.Isha works three times as fast as Priya. Together they finish a job in 4 days. How many days would Priya take alone?
  25. 25.Dev and Kabir together finish a job in 6 days. Dev alone takes 8 days. How many days would Kabir take alone?
  26. 26.Aarav can finish a job in 20 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. =
  27. 27.Aditya can finish a job in 10 days and Pooja in 25 days. Aditya works alone for 4 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  28. 28.Diya can finish a job in 19 days and Zoya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Dev works twice as fast as Rohan. Together they finish a job in 5 days. How many days would Rohan take alone?
  30. 30.Ishaan can finish a job in 15 days and Diya in 30 days. Ishaan works alone for 3 days and then stops. Diya finishes the rest. How many days does Diya take?
  31. 31.Tara can finish a job in 7 days and Rohan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Arjun can finish a job in 13 days and Sneha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Vivaan can finish a job in 22 days and Zoya in 11 days. Vivaan works alone for 4 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  34. 34.Kavya can finish a job in 2 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. =
  35. 35.Priya and Zoya together finish a job in 8 days. Priya alone takes 12 days. How many days would Zoya take alone?
  36. 36.Vivaan and Ananya together finish a job in 5 days. Vivaan alone takes 10 days. How many days would Ananya take alone?
  37. 37.Rahul can finish a job in 7 days and Ishaan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Aarav can finish a job in 6 days and Aditya in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  39. 39.Karan can finish a job in 20 days and Meera in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  40. 40.Rahul can finish a job in 20 days and Saanvi in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 15
  2. 25/48
  3. 51/20
  4. 18
  5. 15
  6. 33
  7. 204/29
  8. 9
  9. 21
  10. 4
  11. 40
  12. 23/63
  13. 4
  14. 3
  15. 38/21
  16. 4
  17. 26/55
  18. 6/5
  19. 16
  20. 6
  21. 11/18
  22. 154/25
  23. 5
  24. 16
  25. 24
  26. 10/3
  27. 15
  28. 285/34
  29. 15
  30. 24
  31. 77/18
  32. 143/24
  33. 9
  34. 7/4
  35. 24
  36. 10
  37. 70/17
  38. 19/26
  39. 27/70
  40. 140/17

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