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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 289 · 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.Aarav can finish a job in 19 days and Priya in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Arjun can finish a job in 16 days and Aarav in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  3. 3.Ishaan can finish a job in 17 days and Dev in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  4. 4.Tara can finish a job in 17 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. =
  5. 5.Dev can finish a job in 4 days and Tara in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  6. 6.Dev and Arjun together finish a job in 2 days. Dev alone takes 3 days. How many days would Arjun take alone?
  7. 7.Priya can finish a job in 8 days and Ananya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Manav and Farhan together finish a job in 5 days. Manav alone takes 6 days. How many days would Farhan take alone?
  9. 9.Arjun can finish a job in 19 days and Ishaan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Tara can finish a job in 20 days and Dev in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  11. 11.Rohan and Farhan together finish a job in 10 days. Rohan alone takes 20 days. How many days would Farhan take alone?
  12. 12.Ananya works three times as fast as Nisha. Together they finish a job in 5 days. How many days would Nisha take alone?
  13. 13.Manav works twice as fast as Rahul. Together they finish a job in 9 days. How many days would Rahul take alone?
  14. 14.Nisha and Vivaan together finish a job in 9 days. Nisha alone takes 10 days. How many days would Vivaan take alone?
  15. 15.Aditya can finish a job in 14 days and Arjun in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  16. 16.Ishaan works three times as fast as Aarav. Together they finish a job in 9 days. How many days would Aarav take alone?
  17. 17.Diya can finish a job in 8 days and Pooja in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Aarav can finish a job in 10 days and Isha in 6 days. Aarav works alone for 5 days and then stops. Isha finishes the rest. How many days does Isha take?
  19. 19.Farhan can finish a job in 25 days and Rohan in 15 days. Farhan works alone for 10 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  20. 20.Arjun can finish a job in 14 days and Kabir in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  21. 21.Pooja and Vivaan together finish a job in 2 days. Pooja alone takes 3 days. How many days would Vivaan take alone?
  22. 22.Isha can finish a job in 20 days and Kabir in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Karan and Manav together finish a job in 2 days. Karan alone takes 3 days. How many days would Manav take alone?
  24. 24.Rohan works twice as fast as Meera. Together they finish a job in 6 days. How many days would Meera take alone?
  25. 25.Farhan can finish a job in 7 days and Priya in 28 days. Farhan works alone for 3 days and then stops. Priya finishes the rest. How many days does Priya take?
  26. 26.Dev can finish a job in 12 days and Diya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Ananya can finish a job in 8 days and Sneha in 24 days. Ananya works alone for 5 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  28. 28.Kabir can finish a job in 15 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. =
  29. 29.Rohan can finish a job in 16 days and Ishaan in 4 days. Rohan works alone for 8 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  30. 30.Isha can finish a job in 4 days and Ananya in 13 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Rohan and Saanvi together finish a job in 6 days. Rohan alone takes 8 days. How many days would Saanvi take alone?
  32. 32.Isha and Farhan together finish a job in 2 days. Isha alone takes 3 days. How many days would Farhan take alone?
  33. 33.Isha can finish a job in 6 days and Vivaan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Aarav and Tara together finish a job in 2 days. Aarav alone takes 4 days. How many days would Tara take alone?
  35. 35.Ishaan works twice as fast as Dev. Together they finish a job in 2 days. How many days would Dev take alone?
  36. 36.Manav and Priya together finish a job in 3 days. Manav alone takes 4 days. How many days would Priya take alone?
  37. 37.Priya can finish a job in 6 days and Ananya in 24 days. Priya works alone for 5 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  38. 38.Zoya and Priya together finish a job in 18 days. Zoya alone takes 30 days. How many days would Priya take alone?
  39. 39.Farhan can finish a job in 28 days and Aarav in 14 days. Farhan works alone for 16 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  40. 40.Priya can finish a job in 27 days and Vivaan in 24 days. Priya works alone for 9 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?

Answer key

  1. 23/76
  2. 31/80
  3. 23/34
  4. 170/27
  5. 36/13
  6. 6
  7. 8/5
  8. 30
  9. 228/31
  10. 3/5
  11. 20
  12. 20
  13. 27
  14. 90
  15. 15/56
  16. 36
  17. 8/3
  18. 3
  19. 9
  20. 93/238
  21. 6
  22. 60/23
  23. 6
  24. 18
  25. 16
  26. 3
  27. 9
  28. 20/3
  29. 2
  30. 17/52
  31. 24
  32. 6
  33. 48/11
  34. 4
  35. 6
  36. 12
  37. 4
  38. 45
  39. 6
  40. 16

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