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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 48 · 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.Karan can finish a job in 2 days and Rahul in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Ananya works three times as fast as Kabir. Together they finish a job in 6 days. How many days would Kabir take alone?
  3. 3.Ishaan can finish a job in 13 days and Rohan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Manav and Vivaan together finish a job in 2 days. Manav alone takes 3 days. How many days would Vivaan take alone?
  5. 5.Arjun and Kavya together finish a job in 12 days. Arjun alone takes 24 days. How many days would Kavya take alone?
  6. 6.Farhan can finish a job in 2 days and Saanvi in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Diya and Kabir together finish a job in 6 days. Diya alone takes 9 days. How many days would Kabir take alone?
  8. 8.Rahul can finish a job in 5 days and Tara in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Aditya 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. =
  10. 10.Ishaan can finish a job in 15 days and Pooja in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Diya and Aarav together finish a job in 2 days. Diya alone takes 6 days. How many days would Aarav take alone?
  12. 12.Pooja can finish a job in 15 days and Rahul in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Tara works three times as fast as Aarav. Together they finish a job in 9 days. How many days would Aarav take alone?
  14. 14.Vivaan can finish a job in 17 days and Ishaan in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  15. 15.Isha can finish a job in 6 days and Arjun in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  16. 16.Meera can finish a job in 8 days and Kabir in 24 days. Meera works alone for 1 day and then stops. Kabir finishes the rest. How many days does Kabir take?
  17. 17.Farhan can finish a job in 12 days and Ananya in 4 days. Farhan works alone for 9 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  18. 18.Ishaan can finish a job in 7 days and Nisha in 14 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 16 days and Dev in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Rohan can finish a job in 20 days and Meera in 11 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Pooja can finish a job in 11 days and Farhan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Rohan can finish a job in 11 days and Diya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Rahul can finish a job in 5 days and Aditya in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Vivaan can finish a job in 7 days and Zoya in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Aditya can finish a job in 8 days and Kavya in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Saanvi can finish a job in 19 days and Arjun in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Sneha can finish a job in 4 days and Aditya in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  28. 28.Diya works three times as fast as Karan. Together they finish a job in 8 days. How many days would Karan take alone?
  29. 29.Isha and Nisha together finish a job in 4 days. Isha alone takes 5 days. How many days would Nisha take alone?
  30. 30.Rohan can finish a job in 9 days and Arjun in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Farhan can finish a job in 18 days and Nisha in 12 days. Farhan works alone for 6 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  32. 32.Sneha and Priya together finish a job in 4 days. Sneha alone takes 12 days. How many days would Priya take alone?
  33. 33.Sneha can finish a job in 15 days and Meera in 8 days. What fraction of the job do they finish if they work together for 3 days? =
  34. 34.Nisha and Farhan together finish a job in 4 days. Nisha alone takes 5 days. How many days would Farhan take alone?
  35. 35.Kabir can finish a job in 15 days and Aarav in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Dev can finish a job in 7 days and Farhan in 21 days. Dev works alone for 5 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  37. 37.Manav can finish a job in 5 days and Pooja in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Zoya can finish a job in 12 days and Saanvi in 18 days. Zoya works alone for 10 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  39. 39.Arjun works three times as fast as Ananya. Together they finish a job in 2 days. How many days would Ananya take alone?
  40. 40.Manav works twice as fast as Karan. Together they finish a job in 9 days. How many days would Karan take alone?

Answer key

  1. 38/21
  2. 24
  3. 26/15
  4. 6
  5. 24
  6. 22/13
  7. 18
  8. 55/16
  9. 20/9
  10. 285/34
  11. 3
  12. 60/7
  13. 36
  14. 56/187
  15. 5/6
  16. 21
  17. 1
  18. 14/3
  19. 48/19
  20. 31/110
  21. 154/25
  22. 77/18
  23. 1/4
  24. 11/28
  25. 45/56
  26. 27/76
  27. 3/8
  28. 32
  29. 20
  30. 9/4
  31. 8
  32. 6
  33. 23/40
  34. 20
  35. 64/255
  36. 6
  37. 60/17
  38. 3
  39. 8
  40. 27

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