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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 358 · 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.Zoya can finish a job in 18 days and Kavya in 10 days. Zoya works alone for 9 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  2. 2.Pooja can finish a job in 9 days and Priya in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  3. 3.Priya can finish a job in 2 days and Pooja in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Ishaan can finish a job in 13 days and Dev in 26 days. Ishaan works alone for 5 days and then stops. Dev finishes the rest. How many days does Dev take?
  5. 5.Kavya works twice as fast as Pooja. Together they finish a job in 4 days. How many days would Pooja take alone?
  6. 6.Aditya can finish a job in 17 days and Isha in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Nisha works three times as fast as Meera. Together they finish a job in 8 days. How many days would Meera take alone?
  8. 8.Dev works twice as fast as Saanvi. Together they finish a job in 11 days. How many days would Saanvi take alone?
  9. 9.Aditya can finish a job in 24 days and Meera in 4 days. Aditya works alone for 6 days and then stops. Meera finishes the rest. How many days does Meera take?
  10. 10.Sneha and Ishaan together finish a job in 3 days. Sneha alone takes 4 days. How many days would Ishaan take alone?
  11. 11.Kavya works three times as fast as Priya. Together they finish a job in 6 days. How many days would Priya take alone?
  12. 12.Tara can finish a job in 2 days and Meera in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Zoya and Aarav together finish a job in 2 days. Zoya alone takes 3 days. How many days would Aarav take alone?
  14. 14.Arjun can finish a job in 18 days and Manav in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  15. 15.Saanvi can finish a job in 7 days and Rohan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Aarav can finish a job in 5 days and Rahul in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Dev can finish a job in 5 days and Arjun in 15 days. Dev works alone for 4 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  18. 18.Ishaan can finish a job in 26 days and Farhan in 12 days. Ishaan works alone for 13 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  19. 19.Farhan can finish a job in 18 days and Priya in 27 days. Farhan works alone for 10 days and then stops. Priya finishes the rest. How many days does Priya take?
  20. 20.Rahul can finish a job in 5 days and Kabir in 20 days. Rahul works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  21. 21.Kavya can finish a job in 7 days and Manav in 28 days. Kavya works alone for 5 days and then stops. Manav finishes the rest. How many days does Manav take?
  22. 22.Ishaan can finish a job in 20 days and Dev in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Pooja works twice as fast as Farhan. Together they finish a job in 8 days. How many days would Farhan take alone?
  24. 24.Kabir can finish a job in 19 days and Diya in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  25. 25.Rohan can finish a job in 6 days and Isha in 24 days. Rohan works alone for 5 days and then stops. Isha finishes the rest. How many days does Isha take?
  26. 26.Diya and Isha together finish a job in 2 days. Diya alone takes 3 days. How many days would Isha take alone?
  27. 27.Pooja and Tara together finish a job in 2 days. Pooja alone takes 3 days. How many days would Tara take alone?
  28. 28.Rahul can finish a job in 13 days and Saanvi in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  29. 29.Vivaan can finish a job in 13 days and Rohan in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  30. 30.Pooja can finish a job in 4 days and Saanvi in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Dev can finish a job in 12 days and Aarav in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Aarav can finish a job in 18 days and Aditya in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  33. 33.Aarav and Dev together finish a job in 15 days. Aarav alone takes 18 days. How many days would Dev take alone?
  34. 34.Isha can finish a job in 6 days and Ananya in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  35. 35.Arjun can finish a job in 13 days and Kabir in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  36. 36.Sneha and Vivaan together finish a job in 2 days. Sneha alone takes 6 days. How many days would Vivaan take alone?
  37. 37.Kavya works three times as fast as Ananya. Together they finish a job in 4 days. How many days would Ananya take alone?
  38. 38.Nisha and Isha together finish a job in 3 days. Nisha alone takes 6 days. How many days would Isha take alone?
  39. 39.Isha can finish a job in 4 days and Arjun in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  40. 40.Karan and Manav together finish a job in 6 days. Karan alone takes 9 days. How many days would Manav take alone?

Answer key

  1. 5
  2. 7/18
  3. 5/3
  4. 16
  5. 12
  6. 36/323
  7. 32
  8. 33
  9. 3
  10. 12
  11. 24
  12. 3/2
  13. 6
  14. 11/18
  15. 28/11
  16. 65/18
  17. 3
  18. 6
  19. 12
  20. 12
  21. 8
  22. 7/40
  23. 24
  24. 31/114
  25. 4
  26. 6
  27. 6
  28. 28/65
  29. 51/52
  30. 20/7
  31. 36/7
  32. 11/18
  33. 90
  34. 5/6
  35. 51/52
  36. 3
  37. 16
  38. 6
  39. 9/20
  40. 18

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