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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 216 · 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.Rohan can finish a job in 18 days and Isha in 30 days. Rohan works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?
  2. 2.Rohan and Meera together finish a job in 11 days. Rohan alone takes 22 days. How many days would Meera take alone?
  3. 3.Saanvi and Nisha together finish a job in 4 days. Saanvi alone takes 5 days. How many days would Nisha take alone?
  4. 4.Ananya can finish a job in 14 days and Dev in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Diya works twice as fast as Arjun. Together they finish a job in 12 days. How many days would Arjun take alone?
  6. 6.Farhan and Ishaan together finish a job in 12 days. Farhan alone takes 18 days. How many days would Ishaan take alone?
  7. 7.Ishaan can finish a job in 19 days and Pooja in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  8. 8.Rahul and Pooja together finish a job in 5 days. Rahul alone takes 10 days. How many days would Pooja take alone?
  9. 9.Rahul can finish a job in 20 days and Vivaan in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Manav can finish a job in 3 days and Isha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Rohan can finish a job in 6 days and Ishaan in 21 days. Rohan works alone for 2 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  12. 12.Manav and Aarav together finish a job in 2 days. Manav alone takes 3 days. How many days would Aarav take alone?
  13. 13.Nisha and Kabir together finish a job in 4 days. Nisha alone takes 8 days. How many days would Kabir take alone?
  14. 14.Zoya works twice as fast as Isha. Together they finish a job in 11 days. How many days would Isha take alone?
  15. 15.Kabir and Nisha together finish a job in 3 days. Kabir alone takes 6 days. How many days would Nisha take alone?
  16. 16.Kavya works three times as fast as Zoya. Together they finish a job in 10 days. How many days would Zoya take alone?
  17. 17.Dev can finish a job in 6 days and Zoya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Karan can finish a job in 19 days and Zoya in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  19. 19.Pooja can finish a job in 15 days and Aditya in 30 days. Pooja works alone for 9 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  20. 20.Pooja works three times as fast as Aarav. Together they finish a job in 7 days. How many days would Aarav take alone?
  21. 21.Pooja works three times as fast as Priya. Together they finish a job in 4 days. How many days would Priya take alone?
  22. 22.Diya can finish a job in 17 days and Manav in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  23. 23.Pooja can finish a job in 8 days and Isha in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Meera can finish a job in 4 days and Karan in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Karan can finish a job in 16 days and Arjun in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Kavya can finish a job in 9 days and Diya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Aarav can finish a job in 12 days and Kavya in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  28. 28.Kabir can finish a job in 6 days and Karan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Kavya works three times as fast as Tara. Together they finish a job in 11 days. How many days would Tara take alone?
  30. 30.Pooja works three times as fast as Priya. Together they finish a job in 2 days. How many days would Priya take alone?
  31. 31.Sneha and Tara together finish a job in 3 days. Sneha alone takes 4 days. How many days would Tara take alone?
  32. 32.Nisha can finish a job in 14 days and Dev in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Arjun and Nisha together finish a job in 2 days. Arjun alone takes 6 days. How many days would Nisha take alone?
  34. 34.Nisha and Pooja together finish a job in 3 days. Nisha alone takes 6 days. How many days would Pooja take alone?
  35. 35.Aarav can finish a job in 5 days and Rohan in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Aditya works three times as fast as Farhan. Together they finish a job in 12 days. How many days would Farhan take alone?
  37. 37.Rohan works three times as fast as Pooja. Together they finish a job in 11 days. How many days would Pooja take alone?
  38. 38.Rohan can finish a job in 4 days and Arjun in 8 days. Rohan works alone for 1 day and then stops. Arjun finishes the rest. How many days does Arjun take?
  39. 39.Arjun works three times as fast as Rohan. Together they finish a job in 6 days. How many days would Rohan take alone?
  40. 40.Aditya can finish a job in 11 days and Sneha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 25
  2. 22
  3. 20
  4. 28/9
  5. 36
  6. 36
  7. 30/209
  8. 10
  9. 380/39
  10. 33/14
  11. 14
  12. 6
  13. 8
  14. 33
  15. 6
  16. 40
  17. 18/5
  18. 78/133
  19. 12
  20. 28
  21. 16
  22. 44/85
  23. 104/21
  24. 12/7
  25. 272/33
  26. 72/17
  27. 4/15
  28. 12/5
  29. 44
  30. 8
  31. 12
  32. 140/17
  33. 3
  34. 6
  35. 80/21
  36. 48
  37. 44
  38. 6
  39. 24
  40. 22/13

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